What is the Least Common Multiple of 22398 and 22410?

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 22398 and 22410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22398 and 22410, than apply into the LCM equation.

GCF(22398,22410) = 6
LCM(22398,22410) = ( 22398 × 22410) / 6
LCM(22398,22410) = 501939180 / 6
LCM(22398,22410) = 83656530

Least Common Multiple (LCM) of 22398 and 22410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22398 and 22410. First we will calculate the prime factors of 22398 and 22410.

Prime Factorization of 22398

Prime Factorization of 22410

Now multiplying the highest exponent prime factors to calculate the LCM of 22398 and 22410.

LCM(22398,22410) = 2¹ × 3³ × 3733¹ × 5¹ × 83¹
LCM(22398,22410) = 83656530