What is the Least Common Multiple of 55080 and 55100?

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 55080 and 55100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55080 and 55100, than apply into the LCM equation.

GCF(55080,55100) = 20
LCM(55080,55100) = ( 55080 × 55100) / 20
LCM(55080,55100) = 3034908000 / 20
LCM(55080,55100) = 151745400

Least Common Multiple (LCM) of 55080 and 55100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55080 and 55100. First we will calculate the prime factors of 55080 and 55100.

Prime Factorization of 55080

Prime Factorization of 55100

Now multiplying the highest exponent prime factors to calculate the LCM of 55080 and 55100.

LCM(55080,55100) = 2³ × 3⁴ × 5² × 17¹ × 19¹ × 29¹
LCM(55080,55100) = 151745400