GCF and LCM Calculator Logo

What is the Least Common Multiple of 93350 and 93364?

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 93350 and 93364 is 4357764700.

LCM(93350,93364) = 4357764700

LCM Calculator and
and

Least Common Multiple of 93350 and 93364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93350 and 93364, than apply into the LCM equation.

GCF(93350,93364) = 2
LCM(93350,93364) = ( 93350 × 93364) / 2
LCM(93350,93364) = 8715529400 / 2
LCM(93350,93364) = 4357764700

Least Common Multiple (LCM) of 93350 and 93364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93350 and 93364. First we will calculate the prime factors of 93350 and 93364.

Prime Factorization of 93350

Prime factors of 93350 are 2, 5, 1867. Prime factorization of 93350 in exponential form is:

93350 = 21 × 52 × 18671

Prime Factorization of 93364

Prime factors of 93364 are 2, 17, 1373. Prime factorization of 93364 in exponential form is:

93364 = 22 × 171 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 93350 and 93364.

LCM(93350,93364) = 22 × 52 × 18671 × 171 × 13731
LCM(93350,93364) = 4357764700