What is the Least Common Multiple of 7380 and 7390?

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 7380 and 7390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7380 and 7390, than apply into the LCM equation.

GCF(7380,7390) = 10
LCM(7380,7390) = ( 7380 × 7390) / 10
LCM(7380,7390) = 54538200 / 10
LCM(7380,7390) = 5453820

Least Common Multiple (LCM) of 7380 and 7390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7380 and 7390. First we will calculate the prime factors of 7380 and 7390.

Prime Factorization of 7380

Prime Factorization of 7390

Now multiplying the highest exponent prime factors to calculate the LCM of 7380 and 7390.

LCM(7380,7390) = 2² × 3² × 5¹ × 41¹ × 739¹
LCM(7380,7390) = 5453820