What is the Least Common Multiple of 22560 and 22574?

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 22560 and 22574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22560 and 22574, than apply into the LCM equation.

GCF(22560,22574) = 2
LCM(22560,22574) = ( 22560 × 22574) / 2
LCM(22560,22574) = 509269440 / 2
LCM(22560,22574) = 254634720

Least Common Multiple (LCM) of 22560 and 22574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22560 and 22574. First we will calculate the prime factors of 22560 and 22574.

Prime Factorization of 22560

Prime Factorization of 22574

Now multiplying the highest exponent prime factors to calculate the LCM of 22560 and 22574.

LCM(22560,22574) = 2⁵ × 3¹ × 5¹ × 47¹ × 11287¹
LCM(22560,22574) = 254634720