What is the Least Common Multiple of 36494 and 36512?

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 36494 and 36512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36494 and 36512, than apply into the LCM equation.

GCF(36494,36512) = 2
LCM(36494,36512) = ( 36494 × 36512) / 2
LCM(36494,36512) = 1332468928 / 2
LCM(36494,36512) = 666234464

Least Common Multiple (LCM) of 36494 and 36512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36494 and 36512. First we will calculate the prime factors of 36494 and 36512.

Prime Factorization of 36494

Prime Factorization of 36512

Now multiplying the highest exponent prime factors to calculate the LCM of 36494 and 36512.

LCM(36494,36512) = 2⁵ × 71¹ × 257¹ × 7¹ × 163¹
LCM(36494,36512) = 666234464