What is the Least Common Multiple of 65853 and 65868?

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 65853 and 65868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65853 and 65868, than apply into the LCM equation.

GCF(65853,65868) = 3
LCM(65853,65868) = ( 65853 × 65868) / 3
LCM(65853,65868) = 4337605404 / 3
LCM(65853,65868) = 1445868468

Least Common Multiple (LCM) of 65853 and 65868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65853 and 65868. First we will calculate the prime factors of 65853 and 65868.

Prime Factorization of 65853

Prime Factorization of 65868

Now multiplying the highest exponent prime factors to calculate the LCM of 65853 and 65868.

LCM(65853,65868) = 3⁵ × 271¹ × 2² × 11¹ × 499¹
LCM(65853,65868) = 1445868468