What is the Least Common Multiple of 64458 and 64474?

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 64458 and 64474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64458 and 64474, than apply into the LCM equation.

GCF(64458,64474) = 2
LCM(64458,64474) = ( 64458 × 64474) / 2
LCM(64458,64474) = 4155865092 / 2
LCM(64458,64474) = 2077932546

Least Common Multiple (LCM) of 64458 and 64474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64458 and 64474. First we will calculate the prime factors of 64458 and 64474.

Prime Factorization of 64458

Prime Factorization of 64474

Now multiplying the highest exponent prime factors to calculate the LCM of 64458 and 64474.

LCM(64458,64474) = 2¹ × 3² × 3581¹ × 32237¹
LCM(64458,64474) = 2077932546