GCF and LCM Calculator Logo

What is the Least Common Multiple of 93188 and 93205?

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 93188 and 93205 is 8685587540.

LCM(93188,93205) = 8685587540

LCM Calculator and
and

Least Common Multiple of 93188 and 93205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93188 and 93205, than apply into the LCM equation.

GCF(93188,93205) = 1
LCM(93188,93205) = ( 93188 × 93205) / 1
LCM(93188,93205) = 8685587540 / 1
LCM(93188,93205) = 8685587540

Least Common Multiple (LCM) of 93188 and 93205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93188 and 93205. First we will calculate the prime factors of 93188 and 93205.

Prime Factorization of 93188

Prime factors of 93188 are 2, 23297. Prime factorization of 93188 in exponential form is:

93188 = 22 × 232971

Prime Factorization of 93205

Prime factors of 93205 are 5, 7, 2663. Prime factorization of 93205 in exponential form is:

93205 = 51 × 71 × 26631

Now multiplying the highest exponent prime factors to calculate the LCM of 93188 and 93205.

LCM(93188,93205) = 22 × 232971 × 51 × 71 × 26631
LCM(93188,93205) = 8685587540