GCF and LCM Calculator Logo

What is the Least Common Multiple of 7386 and 7399?

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 7386 and 7399 is 54649014.

LCM(7386,7399) = 54649014

LCM Calculator and
and

Least Common Multiple of 7386 and 7399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7386 and 7399, than apply into the LCM equation.

GCF(7386,7399) = 1
LCM(7386,7399) = ( 7386 × 7399) / 1
LCM(7386,7399) = 54649014 / 1
LCM(7386,7399) = 54649014

Least Common Multiple (LCM) of 7386 and 7399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7386 and 7399. First we will calculate the prime factors of 7386 and 7399.

Prime Factorization of 7386

Prime factors of 7386 are 2, 3, 1231. Prime factorization of 7386 in exponential form is:

7386 = 21 × 31 × 12311

Prime Factorization of 7399

Prime factors of 7399 are 7, 151. Prime factorization of 7399 in exponential form is:

7399 = 72 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7386 and 7399.

LCM(7386,7399) = 21 × 31 × 12311 × 72 × 1511
LCM(7386,7399) = 54649014