What is the Least Common Multiple of 35209 and 35216?

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 35209 and 35216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35209 and 35216, than apply into the LCM equation.

GCF(35209,35216) = 1
LCM(35209,35216) = ( 35209 × 35216) / 1
LCM(35209,35216) = 1239920144 / 1
LCM(35209,35216) = 1239920144

Least Common Multiple (LCM) of 35209 and 35216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35209 and 35216. First we will calculate the prime factors of 35209 and 35216.

Prime Factorization of 35209

Prime Factorization of 35216

Now multiplying the highest exponent prime factors to calculate the LCM of 35209 and 35216.

LCM(35209,35216) = 137¹ × 257¹ × 2⁴ × 31¹ × 71¹
LCM(35209,35216) = 1239920144