What is the Least Common Multiple of 58365 and 58380?

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 58365 and 58380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58365 and 58380, than apply into the LCM equation.

GCF(58365,58380) = 15
LCM(58365,58380) = ( 58365 × 58380) / 15
LCM(58365,58380) = 3407348700 / 15
LCM(58365,58380) = 227156580

Least Common Multiple (LCM) of 58365 and 58380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58365 and 58380. First we will calculate the prime factors of 58365 and 58380.

Prime Factorization of 58365

Prime Factorization of 58380

Now multiplying the highest exponent prime factors to calculate the LCM of 58365 and 58380.

LCM(58365,58380) = 3² × 5¹ × 1297¹ × 2² × 7¹ × 139¹
LCM(58365,58380) = 227156580