GCF and LCM Calculator Logo

What is the Least Common Multiple of 93628 and 93646?

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 (LCM) of 93628 and 93646 is 4383943844.

LCM(93628,93646) = 4383943844

LCM Calculator and
and

Least Common Multiple of 93628 and 93646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93628 and 93646, than apply into the LCM equation.

GCF(93628,93646) = 2
LCM(93628,93646) = ( 93628 × 93646) / 2
LCM(93628,93646) = 8767887688 / 2
LCM(93628,93646) = 4383943844

Least Common Multiple (LCM) of 93628 and 93646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93628 and 93646. First we will calculate the prime factors of 93628 and 93646.

Prime Factorization of 93628

Prime factors of 93628 are 2, 89, 263. Prime factorization of 93628 in exponential form is:

93628 = 22 × 891 × 2631

Prime Factorization of 93646

Prime factors of 93646 are 2, 7, 6689. Prime factorization of 93646 in exponential form is:

93646 = 21 × 71 × 66891

Now multiplying the highest exponent prime factors to calculate the LCM of 93628 and 93646.

LCM(93628,93646) = 22 × 891 × 2631 × 71 × 66891
LCM(93628,93646) = 4383943844