What is the Least Common Multiple of 64640 and 64656?

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 64640 and 64656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64640 and 64656, than apply into the LCM equation.

GCF(64640,64656) = 16
LCM(64640,64656) = ( 64640 × 64656) / 16
LCM(64640,64656) = 4179363840 / 16
LCM(64640,64656) = 261210240

Least Common Multiple (LCM) of 64640 and 64656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64640 and 64656. First we will calculate the prime factors of 64640 and 64656.

Prime Factorization of 64640

Prime Factorization of 64656

Now multiplying the highest exponent prime factors to calculate the LCM of 64640 and 64656.

LCM(64640,64656) = 2⁷ × 5¹ × 101¹ × 3² × 449¹
LCM(64640,64656) = 261210240