What is the Least Common Multiple of 22074 and 22082?

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 22074 and 22082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22074 and 22082, than apply into the LCM equation.

GCF(22074,22082) = 2
LCM(22074,22082) = ( 22074 × 22082) / 2
LCM(22074,22082) = 487438068 / 2
LCM(22074,22082) = 243719034

Least Common Multiple (LCM) of 22074 and 22082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22074 and 22082. First we will calculate the prime factors of 22074 and 22082.

Prime Factorization of 22074

Prime Factorization of 22082

Now multiplying the highest exponent prime factors to calculate the LCM of 22074 and 22082.

LCM(22074,22082) = 2¹ × 3¹ × 13¹ × 283¹ × 61¹ × 181¹
LCM(22074,22082) = 243719034