What is the Least Common Multiple of 7356 and 7374?

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 7356 and 7374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7356 and 7374, than apply into the LCM equation.

GCF(7356,7374) = 6
LCM(7356,7374) = ( 7356 × 7374) / 6
LCM(7356,7374) = 54243144 / 6
LCM(7356,7374) = 9040524

Least Common Multiple (LCM) of 7356 and 7374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7356 and 7374. First we will calculate the prime factors of 7356 and 7374.

Prime Factorization of 7356

Prime Factorization of 7374

Now multiplying the highest exponent prime factors to calculate the LCM of 7356 and 7374.

LCM(7356,7374) = 2² × 3¹ × 613¹ × 1229¹
LCM(7356,7374) = 9040524