What is the Least Common Multiple of 76125 and 76142?

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 76125 and 76142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76125 and 76142, than apply into the LCM equation.

GCF(76125,76142) = 1
LCM(76125,76142) = ( 76125 × 76142) / 1
LCM(76125,76142) = 5796309750 / 1
LCM(76125,76142) = 5796309750

Least Common Multiple (LCM) of 76125 and 76142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76125 and 76142. First we will calculate the prime factors of 76125 and 76142.

Prime Factorization of 76125

Prime Factorization of 76142

Now multiplying the highest exponent prime factors to calculate the LCM of 76125 and 76142.

LCM(76125,76142) = 3¹ × 5³ × 7¹ × 29¹ × 2¹ × 11¹ × 3461¹
LCM(76125,76142) = 5796309750