What is the Least Common Multiple of 22695 and 22706?

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 22695 and 22706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22695 and 22706, than apply into the LCM equation.

GCF(22695,22706) = 1
LCM(22695,22706) = ( 22695 × 22706) / 1
LCM(22695,22706) = 515312670 / 1
LCM(22695,22706) = 515312670

Least Common Multiple (LCM) of 22695 and 22706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22695 and 22706. First we will calculate the prime factors of 22695 and 22706.

Prime Factorization of 22695

Prime Factorization of 22706

Now multiplying the highest exponent prime factors to calculate the LCM of 22695 and 22706.

LCM(22695,22706) = 3¹ × 5¹ × 17¹ × 89¹ × 2¹ × 11353¹
LCM(22695,22706) = 515312670