What is the Least Common Multiple of 22502 and 22520?

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 22502 and 22520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22502 and 22520, than apply into the LCM equation.

GCF(22502,22520) = 2
LCM(22502,22520) = ( 22502 × 22520) / 2
LCM(22502,22520) = 506745040 / 2
LCM(22502,22520) = 253372520

Least Common Multiple (LCM) of 22502 and 22520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22502 and 22520. First we will calculate the prime factors of 22502 and 22520.

Prime Factorization of 22502

Prime Factorization of 22520

Now multiplying the highest exponent prime factors to calculate the LCM of 22502 and 22520.

LCM(22502,22520) = 2³ × 11251¹ × 5¹ × 563¹
LCM(22502,22520) = 253372520