What is the Least Common Multiple of 23365 and 23380?

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 23365 and 23380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23365 and 23380, than apply into the LCM equation.

GCF(23365,23380) = 5
LCM(23365,23380) = ( 23365 × 23380) / 5
LCM(23365,23380) = 546273700 / 5
LCM(23365,23380) = 109254740

Least Common Multiple (LCM) of 23365 and 23380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23365 and 23380. First we will calculate the prime factors of 23365 and 23380.

Prime Factorization of 23365

Prime Factorization of 23380

Now multiplying the highest exponent prime factors to calculate the LCM of 23365 and 23380.

LCM(23365,23380) = 5¹ × 4673¹ × 2² × 7¹ × 167¹
LCM(23365,23380) = 109254740