What is the Least Common Multiple of 22120 and 22134?

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 22134 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 22134, than apply into the LCM equation.

GCF(22120,22134) = 14
LCM(22120,22134) = ( 22120 × 22134) / 14
LCM(22120,22134) = 489604080 / 14
LCM(22120,22134) = 34971720

Least Common Multiple (LCM) of 22120 and 22134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22120 and 22134. First we will calculate the prime factors of 22120 and 22134.

Prime Factorization of 22120

Prime Factorization of 22134

Now multiplying the highest exponent prime factors to calculate the LCM of 22120 and 22134.

LCM(22120,22134) = 2³ × 5¹ × 7¹ × 79¹ × 3¹ × 17¹ × 31¹
LCM(22120,22134) = 34971720