What is the Least Common Multiple of 81252 and 81261?

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 81261 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 81261, than apply into the LCM equation.

GCF(81252,81261) = 9
LCM(81252,81261) = ( 81252 × 81261) / 9
LCM(81252,81261) = 6602618772 / 9
LCM(81252,81261) = 733624308

Least Common Multiple (LCM) of 81252 and 81261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81252 and 81261. First we will calculate the prime factors of 81252 and 81261.

Prime Factorization of 81252

Prime Factorization of 81261

Now multiplying the highest exponent prime factors to calculate the LCM of 81252 and 81261.

LCM(81252,81261) = 2² × 3² × 37¹ × 61¹ × 9029¹
LCM(81252,81261) = 733624308