What is the Least Common Multiple of 65217 and 65233?

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 65217 and 65233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65217 and 65233, than apply into the LCM equation.

GCF(65217,65233) = 1
LCM(65217,65233) = ( 65217 × 65233) / 1
LCM(65217,65233) = 4254300561 / 1
LCM(65217,65233) = 4254300561

Least Common Multiple (LCM) of 65217 and 65233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65217 and 65233. First we will calculate the prime factors of 65217 and 65233.

Prime Factorization of 65217

Prime Factorization of 65233

Now multiplying the highest exponent prime factors to calculate the LCM of 65217 and 65233.

LCM(65217,65233) = 3¹ × 21739¹ × 7¹ × 9319¹
LCM(65217,65233) = 4254300561