What is the Least Common Multiple of 95125 and 95140?

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 95125 and 95140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95125 and 95140, than apply into the LCM equation.

GCF(95125,95140) = 5
LCM(95125,95140) = ( 95125 × 95140) / 5
LCM(95125,95140) = 9050192500 / 5
LCM(95125,95140) = 1810038500

Least Common Multiple (LCM) of 95125 and 95140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95125 and 95140. First we will calculate the prime factors of 95125 and 95140.

Prime Factorization of 95125

Prime Factorization of 95140

Now multiplying the highest exponent prime factors to calculate the LCM of 95125 and 95140.

LCM(95125,95140) = 5³ × 761¹ × 2² × 67¹ × 71¹
LCM(95125,95140) = 1810038500