What is the Least Common Multiple of 4216 and 4232?

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 4216 and 4232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4216 and 4232, than apply into the LCM equation.

GCF(4216,4232) = 8
LCM(4216,4232) = ( 4216 × 4232) / 8
LCM(4216,4232) = 17842112 / 8
LCM(4216,4232) = 2230264

Least Common Multiple (LCM) of 4216 and 4232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4216 and 4232. First we will calculate the prime factors of 4216 and 4232.

Prime Factorization of 4216

Prime Factorization of 4232

Now multiplying the highest exponent prime factors to calculate the LCM of 4216 and 4232.

LCM(4216,4232) = 2³ × 17¹ × 31¹ × 23²
LCM(4216,4232) = 2230264