What is the Least Common Multiple of 6481 and 6495?
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 6481 and 6495 is 42094095.
LCM(6481,6495) = 42094095
Least Common Multiple of 6481 and 6495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6481 and 6495, than apply into the LCM equation.
GCF(6481,6495) = 1
LCM(6481,6495) = ( 6481 × 6495) / 1
LCM(6481,6495) = 42094095 / 1
LCM(6481,6495) = 42094095
Least Common Multiple (LCM) of 6481 and 6495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6481 and 6495. First we will calculate the prime factors of 6481 and 6495.
Prime Factorization of 6481
Prime factors of 6481 are 6481. Prime factorization of 6481 in exponential form is:
6481 = 64811
Prime Factorization of 6495
Prime factors of 6495 are 3, 5, 433. Prime factorization of 6495 in exponential form is:
6495 = 31 × 51 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 6481 and 6495.
LCM(6481,6495) = 64811 × 31 × 51 × 4331
LCM(6481,6495) = 42094095
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