What is the Least Common Multiple of 88674 and 88691?

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 88691 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 88691, than apply into the LCM equation.

GCF(88674,88691) = 1
LCM(88674,88691) = ( 88674 × 88691) / 1
LCM(88674,88691) = 7864585734 / 1
LCM(88674,88691) = 7864585734

Least Common Multiple (LCM) of 88674 and 88691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88674 and 88691. First we will calculate the prime factors of 88674 and 88691.

Prime Factorization of 88674

Prime Factorization of 88691

Now multiplying the highest exponent prime factors to calculate the LCM of 88674 and 88691.

LCM(88674,88691) = 2¹ × 3¹ × 14779¹ × 31¹ × 2861¹
LCM(88674,88691) = 7864585734