What is the Least Common Multiple of 76123 and 76137?

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 76123 and 76137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76123 and 76137, than apply into the LCM equation.

GCF(76123,76137) = 1
LCM(76123,76137) = ( 76123 × 76137) / 1
LCM(76123,76137) = 5795776851 / 1
LCM(76123,76137) = 5795776851

Least Common Multiple (LCM) of 76123 and 76137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76123 and 76137. First we will calculate the prime factors of 76123 and 76137.

Prime Factorization of 76123

Prime Factorization of 76137

Now multiplying the highest exponent prime factors to calculate the LCM of 76123 and 76137.

LCM(76123,76137) = 76123¹ × 3¹ × 41¹ × 619¹
LCM(76123,76137) = 5795776851