What is the Least Common Multiple of 65500 and 65517?

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 65500 and 65517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65500 and 65517, than apply into the LCM equation.

GCF(65500,65517) = 1
LCM(65500,65517) = ( 65500 × 65517) / 1
LCM(65500,65517) = 4291363500 / 1
LCM(65500,65517) = 4291363500

Least Common Multiple (LCM) of 65500 and 65517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65500 and 65517. First we will calculate the prime factors of 65500 and 65517.

Prime Factorization of 65500

Prime Factorization of 65517

Now multiplying the highest exponent prime factors to calculate the LCM of 65500 and 65517.

LCM(65500,65517) = 2² × 5³ × 131¹ × 3¹ × 21839¹
LCM(65500,65517) = 4291363500