What is the Least Common Multiple of 95140 and 95148?

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 95140 and 95148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95140 and 95148, than apply into the LCM equation.

GCF(95140,95148) = 4
LCM(95140,95148) = ( 95140 × 95148) / 4
LCM(95140,95148) = 9052380720 / 4
LCM(95140,95148) = 2263095180

Least Common Multiple (LCM) of 95140 and 95148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95140 and 95148. First we will calculate the prime factors of 95140 and 95148.

Prime Factorization of 95140

Prime Factorization of 95148

Now multiplying the highest exponent prime factors to calculate the LCM of 95140 and 95148.

LCM(95140,95148) = 2² × 5¹ × 67¹ × 71¹ × 3³ × 881¹
LCM(95140,95148) = 2263095180