GCF and LCM Calculator Logo

What is the Least Common Multiple of 93202 and 93213?

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 93202 and 93213 is 8687638026.

LCM(93202,93213) = 8687638026

LCM Calculator and
and

Least Common Multiple of 93202 and 93213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93202 and 93213, than apply into the LCM equation.

GCF(93202,93213) = 1
LCM(93202,93213) = ( 93202 × 93213) / 1
LCM(93202,93213) = 8687638026 / 1
LCM(93202,93213) = 8687638026

Least Common Multiple (LCM) of 93202 and 93213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93202 and 93213. First we will calculate the prime factors of 93202 and 93213.

Prime Factorization of 93202

Prime factors of 93202 are 2, 46601. Prime factorization of 93202 in exponential form is:

93202 = 21 × 466011

Prime Factorization of 93213

Prime factors of 93213 are 3, 10357. Prime factorization of 93213 in exponential form is:

93213 = 32 × 103571

Now multiplying the highest exponent prime factors to calculate the LCM of 93202 and 93213.

LCM(93202,93213) = 21 × 466011 × 32 × 103571
LCM(93202,93213) = 8687638026