What is the Least Common Multiple of 64446 and 64464?

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 64446 and 64464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64446 and 64464, than apply into the LCM equation.

GCF(64446,64464) = 6
LCM(64446,64464) = ( 64446 × 64464) / 6
LCM(64446,64464) = 4154446944 / 6
LCM(64446,64464) = 692407824

Least Common Multiple (LCM) of 64446 and 64464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64446 and 64464. First we will calculate the prime factors of 64446 and 64464.

Prime Factorization of 64446

Prime Factorization of 64464

Now multiplying the highest exponent prime factors to calculate the LCM of 64446 and 64464.

LCM(64446,64464) = 2⁴ × 3¹ × 23¹ × 467¹ × 17¹ × 79¹
LCM(64446,64464) = 692407824