What is the Least Common Multiple of 22680 and 22698?

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 22698 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 22698, than apply into the LCM equation.

GCF(22680,22698) = 18
LCM(22680,22698) = ( 22680 × 22698) / 18
LCM(22680,22698) = 514790640 / 18
LCM(22680,22698) = 28599480

Least Common Multiple (LCM) of 22680 and 22698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22680 and 22698. First we will calculate the prime factors of 22680 and 22698.

Prime Factorization of 22680

Prime Factorization of 22698

Now multiplying the highest exponent prime factors to calculate the LCM of 22680 and 22698.

LCM(22680,22698) = 2³ × 3⁴ × 5¹ × 7¹ × 13¹ × 97¹
LCM(22680,22698) = 28599480