What is the Least Common Multiple of 88674 and 88683?

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 88674 and 88683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88674 and 88683, than apply into the LCM equation.

GCF(88674,88683) = 3
LCM(88674,88683) = ( 88674 × 88683) / 3
LCM(88674,88683) = 7863876342 / 3
LCM(88674,88683) = 2621292114

Least Common Multiple (LCM) of 88674 and 88683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88674 and 88683. First we will calculate the prime factors of 88674 and 88683.

Prime Factorization of 88674

Prime Factorization of 88683

Now multiplying the highest exponent prime factors to calculate the LCM of 88674 and 88683.

LCM(88674,88683) = 2¹ × 3¹ × 14779¹ × 7¹ × 41¹ × 103¹
LCM(88674,88683) = 2621292114