What is the Least Common Multiple of 81864 and 81870?

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 81864 and 81870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81864 and 81870, than apply into the LCM equation.

GCF(81864,81870) = 6
LCM(81864,81870) = ( 81864 × 81870) / 6
LCM(81864,81870) = 6702205680 / 6
LCM(81864,81870) = 1117034280

Least Common Multiple (LCM) of 81864 and 81870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81864 and 81870. First we will calculate the prime factors of 81864 and 81870.

Prime Factorization of 81864

Prime Factorization of 81870

Now multiplying the highest exponent prime factors to calculate the LCM of 81864 and 81870.

LCM(81864,81870) = 2³ × 3³ × 379¹ × 5¹ × 2729¹
LCM(81864,81870) = 1117034280