What is the Least Common Multiple of 22120 and 22139?

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 22120 and 22139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22120 and 22139, than apply into the LCM equation.

GCF(22120,22139) = 1
LCM(22120,22139) = ( 22120 × 22139) / 1
LCM(22120,22139) = 489714680 / 1
LCM(22120,22139) = 489714680

Least Common Multiple (LCM) of 22120 and 22139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22120 and 22139. First we will calculate the prime factors of 22120 and 22139.

Prime Factorization of 22120

Prime Factorization of 22139

Now multiplying the highest exponent prime factors to calculate the LCM of 22120 and 22139.

LCM(22120,22139) = 2³ × 5¹ × 7¹ × 79¹ × 13² × 131¹
LCM(22120,22139) = 489714680