What is the Least Common Multiple of 22139 and 22152?

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 22139 and 22152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22139 and 22152, than apply into the LCM equation.

GCF(22139,22152) = 13
LCM(22139,22152) = ( 22139 × 22152) / 13
LCM(22139,22152) = 490423128 / 13
LCM(22139,22152) = 37724856

Least Common Multiple (LCM) of 22139 and 22152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22139 and 22152. First we will calculate the prime factors of 22139 and 22152.

Prime Factorization of 22139

Prime Factorization of 22152

Now multiplying the highest exponent prime factors to calculate the LCM of 22139 and 22152.

LCM(22139,22152) = 13² × 131¹ × 2³ × 3¹ × 71¹
LCM(22139,22152) = 37724856