What is the Least Common Multiple of 9218 and 9224?

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 9218 and 9224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9218 and 9224, than apply into the LCM equation.

GCF(9218,9224) = 2
LCM(9218,9224) = ( 9218 × 9224) / 2
LCM(9218,9224) = 85026832 / 2
LCM(9218,9224) = 42513416

Least Common Multiple (LCM) of 9218 and 9224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9218 and 9224. First we will calculate the prime factors of 9218 and 9224.

Prime Factorization of 9218

Prime Factorization of 9224

Now multiplying the highest exponent prime factors to calculate the LCM of 9218 and 9224.

LCM(9218,9224) = 2³ × 11¹ × 419¹ × 1153¹
LCM(9218,9224) = 42513416