What is the Least Common Multiple of 81678 and 81684?

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 81678 and 81684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81678 and 81684, than apply into the LCM equation.

GCF(81678,81684) = 6
LCM(81678,81684) = ( 81678 × 81684) / 6
LCM(81678,81684) = 6671785752 / 6
LCM(81678,81684) = 1111964292

Least Common Multiple (LCM) of 81678 and 81684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81678 and 81684. First we will calculate the prime factors of 81678 and 81684.

Prime Factorization of 81678

Prime Factorization of 81684

Now multiplying the highest exponent prime factors to calculate the LCM of 81678 and 81684.

LCM(81678,81684) = 2² × 3² × 13613¹ × 2269¹
LCM(81678,81684) = 1111964292