What is the Least Common Multiple of 22635 and 22650?

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 22635 and 22650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22635 and 22650, than apply into the LCM equation.

GCF(22635,22650) = 15
LCM(22635,22650) = ( 22635 × 22650) / 15
LCM(22635,22650) = 512682750 / 15
LCM(22635,22650) = 34178850

Least Common Multiple (LCM) of 22635 and 22650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22635 and 22650. First we will calculate the prime factors of 22635 and 22650.

Prime Factorization of 22635

Prime Factorization of 22650

Now multiplying the highest exponent prime factors to calculate the LCM of 22635 and 22650.

LCM(22635,22650) = 3² × 5² × 503¹ × 2¹ × 151¹
LCM(22635,22650) = 34178850