What is the Least Common Multiple of 95123 and 95130?

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 95123 and 95130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95123 and 95130, than apply into the LCM equation.

GCF(95123,95130) = 7
LCM(95123,95130) = ( 95123 × 95130) / 7
LCM(95123,95130) = 9049050990 / 7
LCM(95123,95130) = 1292721570

Least Common Multiple (LCM) of 95123 and 95130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95123 and 95130. First we will calculate the prime factors of 95123 and 95130.

Prime Factorization of 95123

Prime Factorization of 95130

Now multiplying the highest exponent prime factors to calculate the LCM of 95123 and 95130.

LCM(95123,95130) = 7¹ × 107¹ × 127¹ × 2¹ × 3² × 5¹ × 151¹
LCM(95123,95130) = 1292721570