What is the Least Common Multiple of 22577 and 22584?

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 22577 and 22584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22577 and 22584, than apply into the LCM equation.

GCF(22577,22584) = 1
LCM(22577,22584) = ( 22577 × 22584) / 1
LCM(22577,22584) = 509878968 / 1
LCM(22577,22584) = 509878968

Least Common Multiple (LCM) of 22577 and 22584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22577 and 22584. First we will calculate the prime factors of 22577 and 22584.

Prime Factorization of 22577

Prime Factorization of 22584

Now multiplying the highest exponent prime factors to calculate the LCM of 22577 and 22584.

LCM(22577,22584) = 107¹ × 211¹ × 2³ × 3¹ × 941¹
LCM(22577,22584) = 509878968