What is the Least Common Multiple of 47223 and 47235?

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 47235 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 47235, than apply into the LCM equation.

GCF(47223,47235) = 3
LCM(47223,47235) = ( 47223 × 47235) / 3
LCM(47223,47235) = 2230578405 / 3
LCM(47223,47235) = 743526135

Least Common Multiple (LCM) of 47223 and 47235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47223 and 47235. First we will calculate the prime factors of 47223 and 47235.

Prime Factorization of 47223

Prime Factorization of 47235

Now multiplying the highest exponent prime factors to calculate the LCM of 47223 and 47235.

LCM(47223,47235) = 3⁴ × 11¹ × 53¹ × 5¹ × 47¹ × 67¹
LCM(47223,47235) = 743526135