What is the Least Common Multiple of 95658 and 95672?

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 95658 and 95672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95658 and 95672, than apply into the LCM equation.

GCF(95658,95672) = 2
LCM(95658,95672) = ( 95658 × 95672) / 2
LCM(95658,95672) = 9151792176 / 2
LCM(95658,95672) = 4575896088

Least Common Multiple (LCM) of 95658 and 95672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95658 and 95672. First we will calculate the prime factors of 95658 and 95672.

Prime Factorization of 95658

Prime Factorization of 95672

Now multiplying the highest exponent prime factors to calculate the LCM of 95658 and 95672.

LCM(95658,95672) = 2³ × 3¹ × 107¹ × 149¹ × 11959¹
LCM(95658,95672) = 4575896088