What is the Least Common Multiple of 76118 and 76123?

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 76118 and 76123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76118 and 76123, than apply into the LCM equation.

GCF(76118,76123) = 1
LCM(76118,76123) = ( 76118 × 76123) / 1
LCM(76118,76123) = 5794330514 / 1
LCM(76118,76123) = 5794330514

Least Common Multiple (LCM) of 76118 and 76123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76118 and 76123. First we will calculate the prime factors of 76118 and 76123.

Prime Factorization of 76118

Prime Factorization of 76123

Now multiplying the highest exponent prime factors to calculate the LCM of 76118 and 76123.

LCM(76118,76123) = 2¹ × 7¹ × 5437¹ × 76123¹
LCM(76118,76123) = 5794330514