What is the Least Common Multiple of 64274 and 64288?

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 64274 and 64288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64274 and 64288, than apply into the LCM equation.

GCF(64274,64288) = 14
LCM(64274,64288) = ( 64274 × 64288) / 14
LCM(64274,64288) = 4132046912 / 14
LCM(64274,64288) = 295146208

Least Common Multiple (LCM) of 64274 and 64288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64274 and 64288. First we will calculate the prime factors of 64274 and 64288.

Prime Factorization of 64274

Prime Factorization of 64288

Now multiplying the highest exponent prime factors to calculate the LCM of 64274 and 64288.

LCM(64274,64288) = 2⁵ × 7² × 4591¹ × 41¹
LCM(64274,64288) = 295146208