What is the Least Common Multiple of 28488 and 28492?

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 28488 and 28492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28488 and 28492, than apply into the LCM equation.

GCF(28488,28492) = 4
LCM(28488,28492) = ( 28488 × 28492) / 4
LCM(28488,28492) = 811680096 / 4
LCM(28488,28492) = 202920024

Least Common Multiple (LCM) of 28488 and 28492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28488 and 28492. First we will calculate the prime factors of 28488 and 28492.

Prime Factorization of 28488

Prime Factorization of 28492

Now multiplying the highest exponent prime factors to calculate the LCM of 28488 and 28492.

LCM(28488,28492) = 2³ × 3¹ × 1187¹ × 17¹ × 419¹
LCM(28488,28492) = 202920024