What is the Least Common Multiple of 7378 and 7396?

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 7378 and 7396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7378 and 7396, than apply into the LCM equation.

GCF(7378,7396) = 2
LCM(7378,7396) = ( 7378 × 7396) / 2
LCM(7378,7396) = 54567688 / 2
LCM(7378,7396) = 27283844

Least Common Multiple (LCM) of 7378 and 7396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7396. First we will calculate the prime factors of 7378 and 7396.

Prime Factorization of 7378

Prime Factorization of 7396

Now multiplying the highest exponent prime factors to calculate the LCM of 7378 and 7396.

LCM(7378,7396) = 2² × 7¹ × 17¹ × 31¹ × 43²
LCM(7378,7396) = 27283844