What is the Least Common Multiple of 65384 and 65401?

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 65384 and 65401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65384 and 65401, than apply into the LCM equation.

GCF(65384,65401) = 1
LCM(65384,65401) = ( 65384 × 65401) / 1
LCM(65384,65401) = 4276178984 / 1
LCM(65384,65401) = 4276178984

Least Common Multiple (LCM) of 65384 and 65401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65384 and 65401. First we will calculate the prime factors of 65384 and 65401.

Prime Factorization of 65384

Prime Factorization of 65401

Now multiplying the highest exponent prime factors to calculate the LCM of 65384 and 65401.

LCM(65384,65401) = 2³ × 11¹ × 743¹ × 7¹ × 9343¹
LCM(65384,65401) = 4276178984