What is the Least Common Multiple of 81612 and 81632?

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 81612 and 81632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81612 and 81632, than apply into the LCM equation.

GCF(81612,81632) = 4
LCM(81612,81632) = ( 81612 × 81632) / 4
LCM(81612,81632) = 6662150784 / 4
LCM(81612,81632) = 1665537696

Least Common Multiple (LCM) of 81612 and 81632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81612 and 81632. First we will calculate the prime factors of 81612 and 81632.

Prime Factorization of 81612

Prime Factorization of 81632

Now multiplying the highest exponent prime factors to calculate the LCM of 81612 and 81632.

LCM(81612,81632) = 2⁵ × 3² × 2267¹ × 2551¹
LCM(81612,81632) = 1665537696