What is the Least Common Multiple of 81252 and 81264?

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 81252 and 81264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81252 and 81264, than apply into the LCM equation.

GCF(81252,81264) = 12
LCM(81252,81264) = ( 81252 × 81264) / 12
LCM(81252,81264) = 6602862528 / 12
LCM(81252,81264) = 550238544

Least Common Multiple (LCM) of 81252 and 81264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81252 and 81264. First we will calculate the prime factors of 81252 and 81264.

Prime Factorization of 81252

Prime Factorization of 81264

Now multiplying the highest exponent prime factors to calculate the LCM of 81252 and 81264.

LCM(81252,81264) = 2⁴ × 3² × 37¹ × 61¹ × 1693¹
LCM(81252,81264) = 550238544