What is the Least Common Multiple of 76116 and 76125?

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 76125 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 76125, than apply into the LCM equation.

GCF(76116,76125) = 3
LCM(76116,76125) = ( 76116 × 76125) / 3
LCM(76116,76125) = 5794330500 / 3
LCM(76116,76125) = 1931443500

Least Common Multiple (LCM) of 76116 and 76125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76116 and 76125. First we will calculate the prime factors of 76116 and 76125.

Prime Factorization of 76116

Prime Factorization of 76125

Now multiplying the highest exponent prime factors to calculate the LCM of 76116 and 76125.

LCM(76116,76125) = 2² × 3¹ × 6343¹ × 5³ × 7¹ × 29¹
LCM(76116,76125) = 1931443500