What is the Least Common Multiple of 65928 and 65947?

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 65928 and 65947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65928 and 65947, than apply into the LCM equation.

GCF(65928,65947) = 1
LCM(65928,65947) = ( 65928 × 65947) / 1
LCM(65928,65947) = 4347753816 / 1
LCM(65928,65947) = 4347753816

Least Common Multiple (LCM) of 65928 and 65947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65928 and 65947. First we will calculate the prime factors of 65928 and 65947.

Prime Factorization of 65928

Prime Factorization of 65947

Now multiplying the highest exponent prime factors to calculate the LCM of 65928 and 65947.

LCM(65928,65947) = 2³ × 3¹ × 41¹ × 67¹ × 7¹ × 9421¹
LCM(65928,65947) = 4347753816