What is the Least Common Multiple of 45498 and 45508?

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 45498 and 45508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45498 and 45508, than apply into the LCM equation.

GCF(45498,45508) = 2
LCM(45498,45508) = ( 45498 × 45508) / 2
LCM(45498,45508) = 2070522984 / 2
LCM(45498,45508) = 1035261492

Least Common Multiple (LCM) of 45498 and 45508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45498 and 45508. First we will calculate the prime factors of 45498 and 45508.

Prime Factorization of 45498

Prime Factorization of 45508

Now multiplying the highest exponent prime factors to calculate the LCM of 45498 and 45508.

LCM(45498,45508) = 2² × 3¹ × 7583¹ × 31¹ × 367¹
LCM(45498,45508) = 1035261492