What is the Least Common Multiple of 95646 and 95664?

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 95646 and 95664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95646 and 95664, than apply into the LCM equation.

GCF(95646,95664) = 6
LCM(95646,95664) = ( 95646 × 95664) / 6
LCM(95646,95664) = 9149878944 / 6
LCM(95646,95664) = 1524979824

Least Common Multiple (LCM) of 95646 and 95664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95646 and 95664. First we will calculate the prime factors of 95646 and 95664.

Prime Factorization of 95646

Prime Factorization of 95664

Now multiplying the highest exponent prime factors to calculate the LCM of 95646 and 95664.

LCM(95646,95664) = 2⁴ × 3¹ × 19¹ × 839¹ × 1993¹
LCM(95646,95664) = 1524979824