What is the Least Common Multiple of 22672 and 22678?

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 22672 and 22678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22672 and 22678, than apply into the LCM equation.

GCF(22672,22678) = 2
LCM(22672,22678) = ( 22672 × 22678) / 2
LCM(22672,22678) = 514155616 / 2
LCM(22672,22678) = 257077808

Least Common Multiple (LCM) of 22672 and 22678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22672 and 22678. First we will calculate the prime factors of 22672 and 22678.

Prime Factorization of 22672

Prime Factorization of 22678

Now multiplying the highest exponent prime factors to calculate the LCM of 22672 and 22678.

LCM(22672,22678) = 2⁴ × 13¹ × 109¹ × 17¹ × 23¹ × 29¹
LCM(22672,22678) = 257077808