GCF and LCM Calculator Logo

What is the Least Common Multiple of 7394 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 7394 and 7399 is 54708206.

LCM(7394,7399) = 54708206

LCM Calculator and
and

Least Common Multiple of 7394 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 7394 and 7399, than apply into the LCM equation.

GCF(7394,7399) = 1
LCM(7394,7399) = ( 7394 × 7399) / 1
LCM(7394,7399) = 54708206 / 1
LCM(7394,7399) = 54708206

Least Common Multiple (LCM) of 7394 and 7399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7394 and 7399. First we will calculate the prime factors of 7394 and 7399.

Prime Factorization of 7394

Prime factors of 7394 are 2, 3697. Prime factorization of 7394 in exponential form is:

7394 = 21 × 36971

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 7394 and 7399.

LCM(7394,7399) = 21 × 36971 × 72 × 1511
LCM(7394,7399) = 54708206