What is the Least Common Multiple of 7360 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 7360 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 7360 and 7368, than apply into the LCM equation.

GCF(7360,7368) = 8
LCM(7360,7368) = ( 7360 × 7368) / 8
LCM(7360,7368) = 54228480 / 8
LCM(7360,7368) = 6778560

Least Common Multiple (LCM) of 7360 and 7368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7360 and 7368. First we will calculate the prime factors of 7360 and 7368.

Prime Factorization of 7360

Prime Factorization of 7368

Now multiplying the highest exponent prime factors to calculate the LCM of 7360 and 7368.

LCM(7360,7368) = 2⁶ × 5¹ × 23¹ × 3¹ × 307¹
LCM(7360,7368) = 6778560