What is the Least Common Multiple of 95628 and 95646?

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 95646 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 95646, than apply into the LCM equation.

GCF(95628,95646) = 6
LCM(95628,95646) = ( 95628 × 95646) / 6
LCM(95628,95646) = 9146435688 / 6
LCM(95628,95646) = 1524405948

Least Common Multiple (LCM) of 95628 and 95646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95628 and 95646. First we will calculate the prime factors of 95628 and 95646.

Prime Factorization of 95628

Prime Factorization of 95646

Now multiplying the highest exponent prime factors to calculate the LCM of 95628 and 95646.

LCM(95628,95646) = 2² × 3¹ × 13¹ × 613¹ × 19¹ × 839¹
LCM(95628,95646) = 1524405948