What is the Least Common Multiple of 74223 and 74229?

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 74223 and 74229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74223 and 74229, than apply into the LCM equation.

GCF(74223,74229) = 3
LCM(74223,74229) = ( 74223 × 74229) / 3
LCM(74223,74229) = 5509499067 / 3
LCM(74223,74229) = 1836499689

Least Common Multiple (LCM) of 74223 and 74229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74223 and 74229. First we will calculate the prime factors of 74223 and 74229.

Prime Factorization of 74223

Prime Factorization of 74229

Now multiplying the highest exponent prime factors to calculate the LCM of 74223 and 74229.

LCM(74223,74229) = 3³ × 2749¹ × 109¹ × 227¹
LCM(74223,74229) = 1836499689