GCF and LCM Calculator Logo

What is the Least Common Multiple of 93580 and 93600?

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 93580 and 93600 is 437954400.

LCM(93580,93600) = 437954400

LCM Calculator and
and

Least Common Multiple of 93580 and 93600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93580 and 93600, than apply into the LCM equation.

GCF(93580,93600) = 20
LCM(93580,93600) = ( 93580 × 93600) / 20
LCM(93580,93600) = 8759088000 / 20
LCM(93580,93600) = 437954400

Least Common Multiple (LCM) of 93580 and 93600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93580 and 93600. First we will calculate the prime factors of 93580 and 93600.

Prime Factorization of 93580

Prime factors of 93580 are 2, 5, 4679. Prime factorization of 93580 in exponential form is:

93580 = 22 × 51 × 46791

Prime Factorization of 93600

Prime factors of 93600 are 2, 3, 5, 13. Prime factorization of 93600 in exponential form is:

93600 = 25 × 32 × 52 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 93580 and 93600.

LCM(93580,93600) = 25 × 52 × 46791 × 32 × 131
LCM(93580,93600) = 437954400