What is the Least Common Multiple of 95120 and 95132?

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 95120 and 95132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95120 and 95132, than apply into the LCM equation.

GCF(95120,95132) = 4
LCM(95120,95132) = ( 95120 × 95132) / 4
LCM(95120,95132) = 9048955840 / 4
LCM(95120,95132) = 2262238960

Least Common Multiple (LCM) of 95120 and 95132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95120 and 95132. First we will calculate the prime factors of 95120 and 95132.

Prime Factorization of 95120

Prime Factorization of 95132

Now multiplying the highest exponent prime factors to calculate the LCM of 95120 and 95132.

LCM(95120,95132) = 2⁴ × 5¹ × 29¹ × 41¹ × 17¹ × 1399¹
LCM(95120,95132) = 2262238960