GCF and LCM Calculator Logo

What is the Least Common Multiple of 93700 and 93714?

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 93700 and 93714 is 4390500900.

LCM(93700,93714) = 4390500900

LCM Calculator and
and

Least Common Multiple of 93700 and 93714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93700 and 93714, than apply into the LCM equation.

GCF(93700,93714) = 2
LCM(93700,93714) = ( 93700 × 93714) / 2
LCM(93700,93714) = 8781001800 / 2
LCM(93700,93714) = 4390500900

Least Common Multiple (LCM) of 93700 and 93714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93700 and 93714. First we will calculate the prime factors of 93700 and 93714.

Prime Factorization of 93700

Prime factors of 93700 are 2, 5, 937. Prime factorization of 93700 in exponential form is:

93700 = 22 × 52 × 9371

Prime Factorization of 93714

Prime factors of 93714 are 2, 3, 15619. Prime factorization of 93714 in exponential form is:

93714 = 21 × 31 × 156191

Now multiplying the highest exponent prime factors to calculate the LCM of 93700 and 93714.

LCM(93700,93714) = 22 × 52 × 9371 × 31 × 156191
LCM(93700,93714) = 4390500900