What is the Least Common Multiple of 95142 and 95160?

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 95142 and 95160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95142 and 95160, than apply into the LCM equation.

GCF(95142,95160) = 6
LCM(95142,95160) = ( 95142 × 95160) / 6
LCM(95142,95160) = 9053712720 / 6
LCM(95142,95160) = 1508952120

Least Common Multiple (LCM) of 95142 and 95160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95142 and 95160. First we will calculate the prime factors of 95142 and 95160.

Prime Factorization of 95142

Prime Factorization of 95160

Now multiplying the highest exponent prime factors to calculate the LCM of 95142 and 95160.

LCM(95142,95160) = 2³ × 3¹ × 101¹ × 157¹ × 5¹ × 13¹ × 61¹
LCM(95142,95160) = 1508952120