What is the Least Common Multiple of 22640 and 22654?

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 22640 and 22654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22640 and 22654, than apply into the LCM equation.

GCF(22640,22654) = 2
LCM(22640,22654) = ( 22640 × 22654) / 2
LCM(22640,22654) = 512886560 / 2
LCM(22640,22654) = 256443280

Least Common Multiple (LCM) of 22640 and 22654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22640 and 22654. First we will calculate the prime factors of 22640 and 22654.

Prime Factorization of 22640

Prime Factorization of 22654

Now multiplying the highest exponent prime factors to calculate the LCM of 22640 and 22654.

LCM(22640,22654) = 2⁴ × 5¹ × 283¹ × 47¹ × 241¹
LCM(22640,22654) = 256443280