What is the Least Common Multiple of 24224 and 24228?

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 24224 and 24228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24224 and 24228, than apply into the LCM equation.

GCF(24224,24228) = 4
LCM(24224,24228) = ( 24224 × 24228) / 4
LCM(24224,24228) = 586899072 / 4
LCM(24224,24228) = 146724768

Least Common Multiple (LCM) of 24224 and 24228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24224 and 24228. First we will calculate the prime factors of 24224 and 24228.

Prime Factorization of 24224

Prime Factorization of 24228

Now multiplying the highest exponent prime factors to calculate the LCM of 24224 and 24228.

LCM(24224,24228) = 2⁵ × 757¹ × 3² × 673¹
LCM(24224,24228) = 146724768