What is the Least Common Multiple of 22540 and 22560?

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 22540 and 22560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22540 and 22560, than apply into the LCM equation.

GCF(22540,22560) = 20
LCM(22540,22560) = ( 22540 × 22560) / 20
LCM(22540,22560) = 508502400 / 20
LCM(22540,22560) = 25425120

Least Common Multiple (LCM) of 22540 and 22560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22540 and 22560. First we will calculate the prime factors of 22540 and 22560.

Prime Factorization of 22540

Prime Factorization of 22560

Now multiplying the highest exponent prime factors to calculate the LCM of 22540 and 22560.

LCM(22540,22560) = 2⁵ × 5¹ × 7² × 23¹ × 3¹ × 47¹
LCM(22540,22560) = 25425120