What is the Least Common Multiple of 95104 and 95115?

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 95104 and 95115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95104 and 95115, than apply into the LCM equation.

GCF(95104,95115) = 1
LCM(95104,95115) = ( 95104 × 95115) / 1
LCM(95104,95115) = 9045816960 / 1
LCM(95104,95115) = 9045816960

Least Common Multiple (LCM) of 95104 and 95115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95104 and 95115. First we will calculate the prime factors of 95104 and 95115.

Prime Factorization of 95104

Prime Factorization of 95115

Now multiplying the highest exponent prime factors to calculate the LCM of 95104 and 95115.

LCM(95104,95115) = 2⁷ × 743¹ × 3¹ × 5¹ × 17¹ × 373¹
LCM(95104,95115) = 9045816960