What is the Least Common Multiple of 81072 and 81084?

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 81072 and 81084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81072 and 81084, than apply into the LCM equation.

GCF(81072,81084) = 12
LCM(81072,81084) = ( 81072 × 81084) / 12
LCM(81072,81084) = 6573642048 / 12
LCM(81072,81084) = 547803504

Least Common Multiple (LCM) of 81072 and 81084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81072 and 81084. First we will calculate the prime factors of 81072 and 81084.

Prime Factorization of 81072

Prime Factorization of 81084

Now multiplying the highest exponent prime factors to calculate the LCM of 81072 and 81084.

LCM(81072,81084) = 2⁴ × 3² × 563¹ × 29¹ × 233¹
LCM(81072,81084) = 547803504