What is the Least Common Multiple of 65209 and 65218?

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 65218 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 65218, than apply into the LCM equation.

GCF(65209,65218) = 1
LCM(65209,65218) = ( 65209 × 65218) / 1
LCM(65209,65218) = 4252800562 / 1
LCM(65209,65218) = 4252800562

Least Common Multiple (LCM) of 65209 and 65218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65209 and 65218. First we will calculate the prime factors of 65209 and 65218.

Prime Factorization of 65209

Prime Factorization of 65218

Now multiplying the highest exponent prime factors to calculate the LCM of 65209 and 65218.

LCM(65209,65218) = 61¹ × 1069¹ × 2¹ × 32609¹
LCM(65209,65218) = 4252800562