What is the Least Common Multiple of 4492 and 4498?

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 4492 and 4498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4492 and 4498, than apply into the LCM equation.

GCF(4492,4498) = 2
LCM(4492,4498) = ( 4492 × 4498) / 2
LCM(4492,4498) = 20205016 / 2
LCM(4492,4498) = 10102508

Least Common Multiple (LCM) of 4492 and 4498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4492 and 4498. First we will calculate the prime factors of 4492 and 4498.

Prime Factorization of 4492

Prime Factorization of 4498

Now multiplying the highest exponent prime factors to calculate the LCM of 4492 and 4498.

LCM(4492,4498) = 2² × 1123¹ × 13¹ × 173¹
LCM(4492,4498) = 10102508