What is the Least Common Multiple of 55664 and 55675?

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 55664 and 55675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55664 and 55675, than apply into the LCM equation.

GCF(55664,55675) = 1
LCM(55664,55675) = ( 55664 × 55675) / 1
LCM(55664,55675) = 3099093200 / 1
LCM(55664,55675) = 3099093200

Least Common Multiple (LCM) of 55664 and 55675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55664 and 55675. First we will calculate the prime factors of 55664 and 55675.

Prime Factorization of 55664

Prime Factorization of 55675

Now multiplying the highest exponent prime factors to calculate the LCM of 55664 and 55675.

LCM(55664,55675) = 2⁴ × 7² × 71¹ × 5² × 17¹ × 131¹
LCM(55664,55675) = 3099093200