What is the Least Common Multiple of 6476 and 6496?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 6476 and 6496 is 10517024.
LCM(6476,6496) = 10517024
Least Common Multiple of 6476 and 6496 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6476 and 6496, than apply into the LCM equation.
GCF(6476,6496) = 4
LCM(6476,6496) = ( 6476 × 6496) / 4
LCM(6476,6496) = 42068096 / 4
LCM(6476,6496) = 10517024
Least Common Multiple (LCM) of 6476 and 6496 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6476 and 6496. First we will calculate the prime factors of 6476 and 6496.
Prime Factorization of 6476
Prime factors of 6476 are 2, 1619. Prime factorization of 6476 in exponential form is:
6476 = 22 × 16191
Prime Factorization of 6496
Prime factors of 6496 are 2, 7, 29. Prime factorization of 6496 in exponential form is:
6496 = 25 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 6476 and 6496.
LCM(6476,6496) = 25 × 16191 × 71 × 291
LCM(6476,6496) = 10517024
Related Least Common Multiples of 6476
- LCM of 6476 and 6480
- LCM of 6476 and 6481
- LCM of 6476 and 6482
- LCM of 6476 and 6483
- LCM of 6476 and 6484
- LCM of 6476 and 6485
- LCM of 6476 and 6486
- LCM of 6476 and 6487
- LCM of 6476 and 6488
- LCM of 6476 and 6489
- LCM of 6476 and 6490
- LCM of 6476 and 6491
- LCM of 6476 and 6492
- LCM of 6476 and 6493
- LCM of 6476 and 6494
- LCM of 6476 and 6495
- LCM of 6476 and 6496
Related Least Common Multiples of 6496
- LCM of 6496 and 6500
- LCM of 6496 and 6501
- LCM of 6496 and 6502
- LCM of 6496 and 6503
- LCM of 6496 and 6504
- LCM of 6496 and 6505
- LCM of 6496 and 6506
- LCM of 6496 and 6507
- LCM of 6496 and 6508
- LCM of 6496 and 6509
- LCM of 6496 and 6510
- LCM of 6496 and 6511
- LCM of 6496 and 6512
- LCM of 6496 and 6513
- LCM of 6496 and 6514
- LCM of 6496 and 6515
- LCM of 6496 and 6516