What is the Least Common Multiple of 64416 and 64425?

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 64416 and 64425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64416 and 64425, than apply into the LCM equation.

GCF(64416,64425) = 3
LCM(64416,64425) = ( 64416 × 64425) / 3
LCM(64416,64425) = 4150000800 / 3
LCM(64416,64425) = 1383333600

Least Common Multiple (LCM) of 64416 and 64425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64416 and 64425. First we will calculate the prime factors of 64416 and 64425.

Prime Factorization of 64416

Prime Factorization of 64425

Now multiplying the highest exponent prime factors to calculate the LCM of 64416 and 64425.

LCM(64416,64425) = 2⁵ × 3¹ × 11¹ × 61¹ × 5² × 859¹
LCM(64416,64425) = 1383333600