What is the Least Common Multiple of 55123 and 55140?

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 55123 and 55140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55123 and 55140, than apply into the LCM equation.

GCF(55123,55140) = 1
LCM(55123,55140) = ( 55123 × 55140) / 1
LCM(55123,55140) = 3039482220 / 1
LCM(55123,55140) = 3039482220

Least Common Multiple (LCM) of 55123 and 55140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55123 and 55140. First we will calculate the prime factors of 55123 and 55140.

Prime Factorization of 55123

Prime Factorization of 55140

Now multiplying the highest exponent prime factors to calculate the LCM of 55123 and 55140.

LCM(55123,55140) = 199¹ × 277¹ × 2² × 3¹ × 5¹ × 919¹
LCM(55123,55140) = 3039482220