What is the Least Common Multiple of 7365 and 7380?

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 7365 and 7380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7365 and 7380, than apply into the LCM equation.

GCF(7365,7380) = 15
LCM(7365,7380) = ( 7365 × 7380) / 15
LCM(7365,7380) = 54353700 / 15
LCM(7365,7380) = 3623580

Least Common Multiple (LCM) of 7365 and 7380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7365 and 7380. First we will calculate the prime factors of 7365 and 7380.

Prime Factorization of 7365

Prime Factorization of 7380

Now multiplying the highest exponent prime factors to calculate the LCM of 7365 and 7380.

LCM(7365,7380) = 3² × 5¹ × 491¹ × 2² × 41¹
LCM(7365,7380) = 3623580