GCF and LCM Calculator Logo

What is the Least Common Multiple of 93510 and 93520?

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 93510 and 93520 is 874505520.

LCM(93510,93520) = 874505520

LCM Calculator and
and

Least Common Multiple of 93510 and 93520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93510 and 93520, than apply into the LCM equation.

GCF(93510,93520) = 10
LCM(93510,93520) = ( 93510 × 93520) / 10
LCM(93510,93520) = 8745055200 / 10
LCM(93510,93520) = 874505520

Least Common Multiple (LCM) of 93510 and 93520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93510 and 93520. First we will calculate the prime factors of 93510 and 93520.

Prime Factorization of 93510

Prime factors of 93510 are 2, 3, 5, 1039. Prime factorization of 93510 in exponential form is:

93510 = 21 × 32 × 51 × 10391

Prime Factorization of 93520

Prime factors of 93520 are 2, 5, 7, 167. Prime factorization of 93520 in exponential form is:

93520 = 24 × 51 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 93510 and 93520.

LCM(93510,93520) = 24 × 32 × 51 × 10391 × 71 × 1671
LCM(93510,93520) = 874505520