What is the Least Common Multiple of 88923 and 88939?

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 88923 and 88939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88923 and 88939, than apply into the LCM equation.

GCF(88923,88939) = 1
LCM(88923,88939) = ( 88923 × 88939) / 1
LCM(88923,88939) = 7908722697 / 1
LCM(88923,88939) = 7908722697

Least Common Multiple (LCM) of 88923 and 88939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88923 and 88939. First we will calculate the prime factors of 88923 and 88939.

Prime Factorization of 88923

Prime Factorization of 88939

Now multiplying the highest exponent prime factors to calculate the LCM of 88923 and 88939.

LCM(88923,88939) = 3¹ × 29641¹ × 19¹ × 31¹ × 151¹
LCM(88923,88939) = 7908722697