What is the Least Common Multiple of 55380 and 55400?

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 55380 and 55400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55380 and 55400, than apply into the LCM equation.

GCF(55380,55400) = 20
LCM(55380,55400) = ( 55380 × 55400) / 20
LCM(55380,55400) = 3068052000 / 20
LCM(55380,55400) = 153402600

Least Common Multiple (LCM) of 55380 and 55400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55380 and 55400. First we will calculate the prime factors of 55380 and 55400.

Prime Factorization of 55380

Prime Factorization of 55400

Now multiplying the highest exponent prime factors to calculate the LCM of 55380 and 55400.

LCM(55380,55400) = 2³ × 3¹ × 5² × 13¹ × 71¹ × 277¹
LCM(55380,55400) = 153402600