What is the Least Common Multiple of 12120 and 12139?

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 12120 and 12139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12120 and 12139, than apply into the LCM equation.

GCF(12120,12139) = 1
LCM(12120,12139) = ( 12120 × 12139) / 1
LCM(12120,12139) = 147124680 / 1
LCM(12120,12139) = 147124680

Least Common Multiple (LCM) of 12120 and 12139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12120 and 12139. First we will calculate the prime factors of 12120 and 12139.

Prime Factorization of 12120

Prime Factorization of 12139

Now multiplying the highest exponent prime factors to calculate the LCM of 12120 and 12139.

LCM(12120,12139) = 2³ × 3¹ × 5¹ × 101¹ × 61¹ × 199¹
LCM(12120,12139) = 147124680