What is the Least Common Multiple of 7352 and 7368?

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 7352 and 7368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7352 and 7368, than apply into the LCM equation.

GCF(7352,7368) = 8
LCM(7352,7368) = ( 7352 × 7368) / 8
LCM(7352,7368) = 54169536 / 8
LCM(7352,7368) = 6771192

Least Common Multiple (LCM) of 7352 and 7368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7352 and 7368. First we will calculate the prime factors of 7352 and 7368.

Prime Factorization of 7352

Prime Factorization of 7368

Now multiplying the highest exponent prime factors to calculate the LCM of 7352 and 7368.

LCM(7352,7368) = 2³ × 919¹ × 3¹ × 307¹
LCM(7352,7368) = 6771192