What is the Least Common Multiple of 95628 and 95634?

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 95628 and 95634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95628 and 95634, than apply into the LCM equation.

GCF(95628,95634) = 6
LCM(95628,95634) = ( 95628 × 95634) / 6
LCM(95628,95634) = 9145288152 / 6
LCM(95628,95634) = 1524214692

Least Common Multiple (LCM) of 95628 and 95634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95628 and 95634. First we will calculate the prime factors of 95628 and 95634.

Prime Factorization of 95628

Prime Factorization of 95634

Now multiplying the highest exponent prime factors to calculate the LCM of 95628 and 95634.

LCM(95628,95634) = 2² × 3³ × 13¹ × 613¹ × 7¹ × 11¹ × 23¹
LCM(95628,95634) = 1524214692