What is the Least Common Multiple of 28374 and 28380?

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 28374 and 28380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28374 and 28380, than apply into the LCM equation.

GCF(28374,28380) = 6
LCM(28374,28380) = ( 28374 × 28380) / 6
LCM(28374,28380) = 805254120 / 6
LCM(28374,28380) = 134209020

Least Common Multiple (LCM) of 28374 and 28380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28374 and 28380. First we will calculate the prime factors of 28374 and 28380.

Prime Factorization of 28374

Prime Factorization of 28380

Now multiplying the highest exponent prime factors to calculate the LCM of 28374 and 28380.

LCM(28374,28380) = 2² × 3¹ × 4729¹ × 5¹ × 11¹ × 43¹
LCM(28374,28380) = 134209020