What is the Least Common Multiple of 95610 and 95628?

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 95610 and 95628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95610 and 95628, than apply into the LCM equation.

GCF(95610,95628) = 6
LCM(95610,95628) = ( 95610 × 95628) / 6
LCM(95610,95628) = 9142993080 / 6
LCM(95610,95628) = 1523832180

Least Common Multiple (LCM) of 95610 and 95628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95610 and 95628. First we will calculate the prime factors of 95610 and 95628.

Prime Factorization of 95610

Prime Factorization of 95628

Now multiplying the highest exponent prime factors to calculate the LCM of 95610 and 95628.

LCM(95610,95628) = 2² × 3¹ × 5¹ × 3187¹ × 13¹ × 613¹
LCM(95610,95628) = 1523832180