What is the Least Common Multiple of 22240 and 22256?

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 22240 and 22256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22240 and 22256, than apply into the LCM equation.

GCF(22240,22256) = 16
LCM(22240,22256) = ( 22240 × 22256) / 16
LCM(22240,22256) = 494973440 / 16
LCM(22240,22256) = 30935840

Least Common Multiple (LCM) of 22240 and 22256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22240 and 22256. First we will calculate the prime factors of 22240 and 22256.

Prime Factorization of 22240

Prime Factorization of 22256

Now multiplying the highest exponent prime factors to calculate the LCM of 22240 and 22256.

LCM(22240,22256) = 2⁵ × 5¹ × 139¹ × 13¹ × 107¹
LCM(22240,22256) = 30935840