What is the Least Common Multiple of 76116 and 76127?

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 76116 and 76127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76116 and 76127, than apply into the LCM equation.

GCF(76116,76127) = 1
LCM(76116,76127) = ( 76116 × 76127) / 1
LCM(76116,76127) = 5794482732 / 1
LCM(76116,76127) = 5794482732

Least Common Multiple (LCM) of 76116 and 76127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76116 and 76127. First we will calculate the prime factors of 76116 and 76127.

Prime Factorization of 76116

Prime Factorization of 76127

Now multiplying the highest exponent prime factors to calculate the LCM of 76116 and 76127.

LCM(76116,76127) = 2² × 3¹ × 6343¹ × 269¹ × 283¹
LCM(76116,76127) = 5794482732