What is the Least Common Multiple of 29224 and 29237?

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 29224 and 29237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29224 and 29237, than apply into the LCM equation.

GCF(29224,29237) = 13
LCM(29224,29237) = ( 29224 × 29237) / 13
LCM(29224,29237) = 854422088 / 13
LCM(29224,29237) = 65724776

Least Common Multiple (LCM) of 29224 and 29237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29224 and 29237. First we will calculate the prime factors of 29224 and 29237.

Prime Factorization of 29224

Prime Factorization of 29237

Now multiplying the highest exponent prime factors to calculate the LCM of 29224 and 29237.

LCM(29224,29237) = 2³ × 13² × 281¹ × 173¹
LCM(29224,29237) = 65724776