What is the Least Common Multiple of 81924 and 81939?

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 81924 and 81939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81924 and 81939, than apply into the LCM equation.

GCF(81924,81939) = 3
LCM(81924,81939) = ( 81924 × 81939) / 3
LCM(81924,81939) = 6712770636 / 3
LCM(81924,81939) = 2237590212

Least Common Multiple (LCM) of 81924 and 81939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81924 and 81939. First we will calculate the prime factors of 81924 and 81939.

Prime Factorization of 81924

Prime Factorization of 81939

Now multiplying the highest exponent prime factors to calculate the LCM of 81924 and 81939.

LCM(81924,81939) = 2² × 3¹ × 6827¹ × 11¹ × 13¹ × 191¹
LCM(81924,81939) = 2237590212