What is the Least Common Multiple of 65498 and 65515?

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 65498 and 65515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65498 and 65515, than apply into the LCM equation.

GCF(65498,65515) = 1
LCM(65498,65515) = ( 65498 × 65515) / 1
LCM(65498,65515) = 4291101470 / 1
LCM(65498,65515) = 4291101470

Least Common Multiple (LCM) of 65498 and 65515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65498 and 65515. First we will calculate the prime factors of 65498 and 65515.

Prime Factorization of 65498

Prime Factorization of 65515

Now multiplying the highest exponent prime factors to calculate the LCM of 65498 and 65515.

LCM(65498,65515) = 2¹ × 32749¹ × 5¹ × 13103¹
LCM(65498,65515) = 4291101470