GCF and LCM Calculator Logo

What is the Least Common Multiple of 93149 and 93168?

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 93149 and 93168 is 8678506032.

LCM(93149,93168) = 8678506032

LCM Calculator and
and

Least Common Multiple of 93149 and 93168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93149 and 93168, than apply into the LCM equation.

GCF(93149,93168) = 1
LCM(93149,93168) = ( 93149 × 93168) / 1
LCM(93149,93168) = 8678506032 / 1
LCM(93149,93168) = 8678506032

Least Common Multiple (LCM) of 93149 and 93168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93149 and 93168. First we will calculate the prime factors of 93149 and 93168.

Prime Factorization of 93149

Prime factors of 93149 are 7, 1901. Prime factorization of 93149 in exponential form is:

93149 = 72 × 19011

Prime Factorization of 93168

Prime factors of 93168 are 2, 3, 647. Prime factorization of 93168 in exponential form is:

93168 = 24 × 32 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 93149 and 93168.

LCM(93149,93168) = 72 × 19011 × 24 × 32 × 6471
LCM(93149,93168) = 8678506032