What is the Least Common Multiple of 55488 and 55508?

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 55488 and 55508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55488 and 55508, than apply into the LCM equation.

GCF(55488,55508) = 4
LCM(55488,55508) = ( 55488 × 55508) / 4
LCM(55488,55508) = 3080027904 / 4
LCM(55488,55508) = 770006976

Least Common Multiple (LCM) of 55488 and 55508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55488 and 55508. First we will calculate the prime factors of 55488 and 55508.

Prime Factorization of 55488

Prime Factorization of 55508

Now multiplying the highest exponent prime factors to calculate the LCM of 55488 and 55508.

LCM(55488,55508) = 2⁶ × 3¹ × 17² × 13877¹
LCM(55488,55508) = 770006976