What is the Least Common Multiple of 65209 and 65216?

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 65209 and 65216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65209 and 65216, than apply into the LCM equation.

GCF(65209,65216) = 1
LCM(65209,65216) = ( 65209 × 65216) / 1
LCM(65209,65216) = 4252670144 / 1
LCM(65209,65216) = 4252670144

Least Common Multiple (LCM) of 65209 and 65216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65209 and 65216. First we will calculate the prime factors of 65209 and 65216.

Prime Factorization of 65209

Prime Factorization of 65216

Now multiplying the highest exponent prime factors to calculate the LCM of 65209 and 65216.

LCM(65209,65216) = 61¹ × 1069¹ × 2⁶ × 1019¹
LCM(65209,65216) = 4252670144