What is the Least Common Multiple of 53494 and 53508?

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 53494 and 53508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53494 and 53508, than apply into the LCM equation.

GCF(53494,53508) = 14
LCM(53494,53508) = ( 53494 × 53508) / 14
LCM(53494,53508) = 2862356952 / 14
LCM(53494,53508) = 204454068

Least Common Multiple (LCM) of 53494 and 53508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53494 and 53508. First we will calculate the prime factors of 53494 and 53508.

Prime Factorization of 53494

Prime Factorization of 53508

Now multiplying the highest exponent prime factors to calculate the LCM of 53494 and 53508.

LCM(53494,53508) = 2² × 7³ × 3821¹ × 3¹ × 13¹
LCM(53494,53508) = 204454068