What is the Least Common Multiple of 65491 and 65501?

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 65491 and 65501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65491 and 65501, than apply into the LCM equation.

GCF(65491,65501) = 1
LCM(65491,65501) = ( 65491 × 65501) / 1
LCM(65491,65501) = 4289725991 / 1
LCM(65491,65501) = 4289725991

Least Common Multiple (LCM) of 65491 and 65501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65491 and 65501. First we will calculate the prime factors of 65491 and 65501.

Prime Factorization of 65491

Prime Factorization of 65501

Now multiplying the highest exponent prime factors to calculate the LCM of 65491 and 65501.

LCM(65491,65501) = 79¹ × 829¹ × 17¹ × 3853¹
LCM(65491,65501) = 4289725991