What is the Least Common Multiple of 7378 and 7395?

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 7395 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 7395, than apply into the LCM equation.

GCF(7378,7395) = 17
LCM(7378,7395) = ( 7378 × 7395) / 17
LCM(7378,7395) = 54560310 / 17
LCM(7378,7395) = 3209430

Least Common Multiple (LCM) of 7378 and 7395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7395. First we will calculate the prime factors of 7378 and 7395.

Prime Factorization of 7378

Prime Factorization of 7395

Now multiplying the highest exponent prime factors to calculate the LCM of 7378 and 7395.

LCM(7378,7395) = 2¹ × 7¹ × 17¹ × 31¹ × 3¹ × 5¹ × 29¹
LCM(7378,7395) = 3209430