What is the Least Common Multiple of 6485 and 6502?
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 6485 and 6502 is 42165470.
LCM(6485,6502) = 42165470
Least Common Multiple of 6485 and 6502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6485 and 6502, than apply into the LCM equation.
GCF(6485,6502) = 1
LCM(6485,6502) = ( 6485 × 6502) / 1
LCM(6485,6502) = 42165470 / 1
LCM(6485,6502) = 42165470
Least Common Multiple (LCM) of 6485 and 6502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6485 and 6502. First we will calculate the prime factors of 6485 and 6502.
Prime Factorization of 6485
Prime factors of 6485 are 5, 1297. Prime factorization of 6485 in exponential form is:
6485 = 51 × 12971
Prime Factorization of 6502
Prime factors of 6502 are 2, 3251. Prime factorization of 6502 in exponential form is:
6502 = 21 × 32511
Now multiplying the highest exponent prime factors to calculate the LCM of 6485 and 6502.
LCM(6485,6502) = 51 × 12971 × 21 × 32511
LCM(6485,6502) = 42165470
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