What is the Least Common Multiple of 95648 and 95662?

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 95648 and 95662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95648 and 95662, than apply into the LCM equation.

GCF(95648,95662) = 14
LCM(95648,95662) = ( 95648 × 95662) / 14
LCM(95648,95662) = 9149878976 / 14
LCM(95648,95662) = 653562784

Least Common Multiple (LCM) of 95648 and 95662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95648 and 95662. First we will calculate the prime factors of 95648 and 95662.

Prime Factorization of 95648

Prime Factorization of 95662

Now multiplying the highest exponent prime factors to calculate the LCM of 95648 and 95662.

LCM(95648,95662) = 2⁵ × 7² × 61¹ × 6833¹
LCM(95648,95662) = 653562784