What is the Least Common Multiple of 2365 and 2380?

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 2365 and 2380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2365 and 2380, than apply into the LCM equation.

GCF(2365,2380) = 5
LCM(2365,2380) = ( 2365 × 2380) / 5
LCM(2365,2380) = 5628700 / 5
LCM(2365,2380) = 1125740

Least Common Multiple (LCM) of 2365 and 2380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2365 and 2380. First we will calculate the prime factors of 2365 and 2380.

Prime Factorization of 2365

Prime Factorization of 2380

Now multiplying the highest exponent prime factors to calculate the LCM of 2365 and 2380.

LCM(2365,2380) = 5¹ × 11¹ × 43¹ × 2² × 7¹ × 17¹
LCM(2365,2380) = 1125740