What is the Least Common Multiple of 95630 and 95648?

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 95630 and 95648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95630 and 95648, than apply into the LCM equation.

GCF(95630,95648) = 2
LCM(95630,95648) = ( 95630 × 95648) / 2
LCM(95630,95648) = 9146818240 / 2
LCM(95630,95648) = 4573409120

Least Common Multiple (LCM) of 95630 and 95648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95630 and 95648. First we will calculate the prime factors of 95630 and 95648.

Prime Factorization of 95630

Prime Factorization of 95648

Now multiplying the highest exponent prime factors to calculate the LCM of 95630 and 95648.

LCM(95630,95648) = 2⁵ × 5¹ × 73¹ × 131¹ × 7² × 61¹
LCM(95630,95648) = 4573409120