What is the Least Common Multiple of 83718 and 83727?

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 83718 and 83727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83718 and 83727, than apply into the LCM equation.

GCF(83718,83727) = 9
LCM(83718,83727) = ( 83718 × 83727) / 9
LCM(83718,83727) = 7009456986 / 9
LCM(83718,83727) = 778828554

Least Common Multiple (LCM) of 83718 and 83727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83718 and 83727. First we will calculate the prime factors of 83718 and 83727.

Prime Factorization of 83718

Prime Factorization of 83727

Now multiplying the highest exponent prime factors to calculate the LCM of 83718 and 83727.

LCM(83718,83727) = 2¹ × 3³ × 4651¹ × 7¹ × 443¹
LCM(83718,83727) = 778828554