What is the Least Common Multiple of 22620 and 22635?

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 22620 and 22635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22620 and 22635, than apply into the LCM equation.

GCF(22620,22635) = 15
LCM(22620,22635) = ( 22620 × 22635) / 15
LCM(22620,22635) = 512003700 / 15
LCM(22620,22635) = 34133580

Least Common Multiple (LCM) of 22620 and 22635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22620 and 22635. First we will calculate the prime factors of 22620 and 22635.

Prime Factorization of 22620

Prime Factorization of 22635

Now multiplying the highest exponent prime factors to calculate the LCM of 22620 and 22635.

LCM(22620,22635) = 2² × 3² × 5¹ × 13¹ × 29¹ × 503¹
LCM(22620,22635) = 34133580