What is the Least Common Multiple of 2124 and 2139?

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 2124 and 2139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2124 and 2139, than apply into the LCM equation.

GCF(2124,2139) = 3
LCM(2124,2139) = ( 2124 × 2139) / 3
LCM(2124,2139) = 4543236 / 3
LCM(2124,2139) = 1514412

Least Common Multiple (LCM) of 2124 and 2139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2124 and 2139. First we will calculate the prime factors of 2124 and 2139.

Prime Factorization of 2124

Prime Factorization of 2139

Now multiplying the highest exponent prime factors to calculate the LCM of 2124 and 2139.

LCM(2124,2139) = 2² × 3² × 59¹ × 23¹ × 31¹
LCM(2124,2139) = 1514412