What is the Least Common Multiple of 76095 and 76101?

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 76101 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 76101, than apply into the LCM equation.

GCF(76095,76101) = 3
LCM(76095,76101) = ( 76095 × 76101) / 3
LCM(76095,76101) = 5790905595 / 3
LCM(76095,76101) = 1930301865

Least Common Multiple (LCM) of 76095 and 76101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76095 and 76101. First we will calculate the prime factors of 76095 and 76101.

Prime Factorization of 76095

Prime Factorization of 76101

Now multiplying the highest exponent prime factors to calculate the LCM of 76095 and 76101.

LCM(76095,76101) = 3² × 5¹ × 19¹ × 89¹ × 25367¹
LCM(76095,76101) = 1930301865