What is the Least Common Multiple of 47223 and 47229?

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 47223 and 47229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47223 and 47229, than apply into the LCM equation.

GCF(47223,47229) = 3
LCM(47223,47229) = ( 47223 × 47229) / 3
LCM(47223,47229) = 2230295067 / 3
LCM(47223,47229) = 743431689

Least Common Multiple (LCM) of 47223 and 47229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47223 and 47229. First we will calculate the prime factors of 47223 and 47229.

Prime Factorization of 47223

Prime Factorization of 47229

Now multiplying the highest exponent prime factors to calculate the LCM of 47223 and 47229.

LCM(47223,47229) = 3⁴ × 11¹ × 53¹ × 7¹ × 13¹ × 173¹
LCM(47223,47229) = 743431689