What is the Least Common Multiple of 55125 and 55132?

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 55125 and 55132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55125 and 55132, than apply into the LCM equation.

GCF(55125,55132) = 7
LCM(55125,55132) = ( 55125 × 55132) / 7
LCM(55125,55132) = 3039151500 / 7
LCM(55125,55132) = 434164500

Least Common Multiple (LCM) of 55125 and 55132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55125 and 55132. First we will calculate the prime factors of 55125 and 55132.

Prime Factorization of 55125

Prime Factorization of 55132

Now multiplying the highest exponent prime factors to calculate the LCM of 55125 and 55132.

LCM(55125,55132) = 3² × 5³ × 7² × 2² × 11¹ × 179¹
LCM(55125,55132) = 434164500