What is the Least Common Multiple of 22680 and 22690?

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 22680 and 22690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22680 and 22690, than apply into the LCM equation.

GCF(22680,22690) = 10
LCM(22680,22690) = ( 22680 × 22690) / 10
LCM(22680,22690) = 514609200 / 10
LCM(22680,22690) = 51460920

Least Common Multiple (LCM) of 22680 and 22690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22680 and 22690. First we will calculate the prime factors of 22680 and 22690.

Prime Factorization of 22680

Prime Factorization of 22690

Now multiplying the highest exponent prime factors to calculate the LCM of 22680 and 22690.

LCM(22680,22690) = 2³ × 3⁴ × 5¹ × 7¹ × 2269¹
LCM(22680,22690) = 51460920