What is the Least Common Multiple of 64993 and 65001?

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 64993 and 65001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64993 and 65001, than apply into the LCM equation.

GCF(64993,65001) = 1
LCM(64993,65001) = ( 64993 × 65001) / 1
LCM(64993,65001) = 4224609993 / 1
LCM(64993,65001) = 4224609993

Least Common Multiple (LCM) of 64993 and 65001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64993 and 65001. First we will calculate the prime factors of 64993 and 65001.

Prime Factorization of 64993

Prime Factorization of 65001

Now multiplying the highest exponent prime factors to calculate the LCM of 64993 and 65001.

LCM(64993,65001) = 103¹ × 631¹ × 3¹ × 47¹ × 461¹
LCM(64993,65001) = 4224609993