What is the Least Common Multiple of 64914 and 64926?

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 of 64914 and 64926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64914 and 64926, than apply into the LCM equation.

GCF(64914,64926) = 6
LCM(64914,64926) = ( 64914 × 64926) / 6
LCM(64914,64926) = 4214606364 / 6
LCM(64914,64926) = 702434394

Least Common Multiple (LCM) of 64914 and 64926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64914 and 64926. First we will calculate the prime factors of 64914 and 64926.

Prime Factorization of 64914

Prime Factorization of 64926

Now multiplying the highest exponent prime factors to calculate the LCM of 64914 and 64926.

LCM(64914,64926) = 2¹ × 3² × 31¹ × 349¹ × 3607¹
LCM(64914,64926) = 702434394