What is the Least Common Multiple of 55140 and 55144?

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 55140 and 55144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55140 and 55144, than apply into the LCM equation.

GCF(55140,55144) = 4
LCM(55140,55144) = ( 55140 × 55144) / 4
LCM(55140,55144) = 3040640160 / 4
LCM(55140,55144) = 760160040

Least Common Multiple (LCM) of 55140 and 55144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55140 and 55144. First we will calculate the prime factors of 55140 and 55144.

Prime Factorization of 55140

Prime Factorization of 55144

Now multiplying the highest exponent prime factors to calculate the LCM of 55140 and 55144.

LCM(55140,55144) = 2³ × 3¹ × 5¹ × 919¹ × 61¹ × 113¹
LCM(55140,55144) = 760160040