What is the Least Common Multiple of 29224 and 29232?

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 29232 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 29232, than apply into the LCM equation.

GCF(29224,29232) = 8
LCM(29224,29232) = ( 29224 × 29232) / 8
LCM(29224,29232) = 854275968 / 8
LCM(29224,29232) = 106784496

Least Common Multiple (LCM) of 29224 and 29232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29224 and 29232. First we will calculate the prime factors of 29224 and 29232.

Prime Factorization of 29224

Prime Factorization of 29232

Now multiplying the highest exponent prime factors to calculate the LCM of 29224 and 29232.

LCM(29224,29232) = 2⁴ × 13¹ × 281¹ × 3² × 7¹ × 29¹
LCM(29224,29232) = 106784496