What is the Least Common Multiple of 76095 and 76107?

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 76095 and 76107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76095 and 76107, than apply into the LCM equation.

GCF(76095,76107) = 3
LCM(76095,76107) = ( 76095 × 76107) / 3
LCM(76095,76107) = 5791362165 / 3
LCM(76095,76107) = 1930454055

Least Common Multiple (LCM) of 76095 and 76107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76095 and 76107. First we will calculate the prime factors of 76095 and 76107.

Prime Factorization of 76095

Prime Factorization of 76107

Now multiplying the highest exponent prime factors to calculate the LCM of 76095 and 76107.

LCM(76095,76107) = 3² × 5¹ × 19¹ × 89¹ × 23¹ × 1103¹
LCM(76095,76107) = 1930454055