What is the Least Common Multiple of 7389 and 7393?

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 of 7389 and 7393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7389 and 7393, than apply into the LCM equation.

GCF(7389,7393) = 1
LCM(7389,7393) = ( 7389 × 7393) / 1
LCM(7389,7393) = 54626877 / 1
LCM(7389,7393) = 54626877

Least Common Multiple (LCM) of 7389 and 7393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7389 and 7393. First we will calculate the prime factors of 7389 and 7393.

Prime Factorization of 7389

Prime Factorization of 7393

Now multiplying the highest exponent prime factors to calculate the LCM of 7389 and 7393.

LCM(7389,7393) = 3² × 821¹ × 7393¹
LCM(7389,7393) = 54626877