What is the Least Common Multiple of 22224 and 22244?

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 22224 and 22244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22224 and 22244, than apply into the LCM equation.

GCF(22224,22244) = 4
LCM(22224,22244) = ( 22224 × 22244) / 4
LCM(22224,22244) = 494350656 / 4
LCM(22224,22244) = 123587664

Least Common Multiple (LCM) of 22224 and 22244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22224 and 22244. First we will calculate the prime factors of 22224 and 22244.

Prime Factorization of 22224

Prime Factorization of 22244

Now multiplying the highest exponent prime factors to calculate the LCM of 22224 and 22244.

LCM(22224,22244) = 2⁴ × 3¹ × 463¹ × 67¹ × 83¹
LCM(22224,22244) = 123587664