What is the Least Common Multiple of 95104 and 95112?

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 95112 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 95112, than apply into the LCM equation.

GCF(95104,95112) = 8
LCM(95104,95112) = ( 95104 × 95112) / 8
LCM(95104,95112) = 9045531648 / 8
LCM(95104,95112) = 1130691456

Least Common Multiple (LCM) of 95104 and 95112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95104 and 95112. First we will calculate the prime factors of 95104 and 95112.

Prime Factorization of 95104

Prime Factorization of 95112

Now multiplying the highest exponent prime factors to calculate the LCM of 95104 and 95112.

LCM(95104,95112) = 2⁷ × 743¹ × 3² × 1321¹
LCM(95104,95112) = 1130691456