What is the Least Common Multiple of 22530 and 22540?

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 22530 and 22540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22530 and 22540, than apply into the LCM equation.

GCF(22530,22540) = 10
LCM(22530,22540) = ( 22530 × 22540) / 10
LCM(22530,22540) = 507826200 / 10
LCM(22530,22540) = 50782620

Least Common Multiple (LCM) of 22530 and 22540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22530 and 22540. First we will calculate the prime factors of 22530 and 22540.

Prime Factorization of 22530

Prime Factorization of 22540

Now multiplying the highest exponent prime factors to calculate the LCM of 22530 and 22540.

LCM(22530,22540) = 2² × 3¹ × 5¹ × 751¹ × 7² × 23¹
LCM(22530,22540) = 50782620