What is the Least Common Multiple of 65832 and 65847?

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 65832 and 65847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65832 and 65847, than apply into the LCM equation.

GCF(65832,65847) = 3
LCM(65832,65847) = ( 65832 × 65847) / 3
LCM(65832,65847) = 4334839704 / 3
LCM(65832,65847) = 1444946568

Least Common Multiple (LCM) of 65832 and 65847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65832 and 65847. First we will calculate the prime factors of 65832 and 65847.

Prime Factorization of 65832

Prime Factorization of 65847

Now multiplying the highest exponent prime factors to calculate the LCM of 65832 and 65847.

LCM(65832,65847) = 2³ × 3¹ × 13¹ × 211¹ × 47¹ × 467¹
LCM(65832,65847) = 1444946568