What is the Least Common Multiple of 4209 and 4216?

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 4209 and 4216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4209 and 4216, than apply into the LCM equation.

GCF(4209,4216) = 1
LCM(4209,4216) = ( 4209 × 4216) / 1
LCM(4209,4216) = 17745144 / 1
LCM(4209,4216) = 17745144

Least Common Multiple (LCM) of 4209 and 4216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4209 and 4216. First we will calculate the prime factors of 4209 and 4216.

Prime Factorization of 4209

Prime Factorization of 4216

Now multiplying the highest exponent prime factors to calculate the LCM of 4209 and 4216.

LCM(4209,4216) = 3¹ × 23¹ × 61¹ × 2³ × 17¹ × 31¹
LCM(4209,4216) = 17745144