GCF and LCM Calculator Logo

What is the Least Common Multiple of 93189 and 93202?

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 93189 and 93202 is 8685401178.

LCM(93189,93202) = 8685401178

LCM Calculator and
and

Least Common Multiple of 93189 and 93202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93189 and 93202, than apply into the LCM equation.

GCF(93189,93202) = 1
LCM(93189,93202) = ( 93189 × 93202) / 1
LCM(93189,93202) = 8685401178 / 1
LCM(93189,93202) = 8685401178

Least Common Multiple (LCM) of 93189 and 93202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93189 and 93202. First we will calculate the prime factors of 93189 and 93202.

Prime Factorization of 93189

Prime factors of 93189 are 3, 31063. Prime factorization of 93189 in exponential form is:

93189 = 31 × 310631

Prime Factorization of 93202

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

93202 = 21 × 466011

Now multiplying the highest exponent prime factors to calculate the LCM of 93189 and 93202.

LCM(93189,93202) = 31 × 310631 × 21 × 466011
LCM(93189,93202) = 8685401178