What is the Least Common Multiple of 8051 and 8067?

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 8051 and 8067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8051 and 8067, than apply into the LCM equation.

GCF(8051,8067) = 1
LCM(8051,8067) = ( 8051 × 8067) / 1
LCM(8051,8067) = 64947417 / 1
LCM(8051,8067) = 64947417

Least Common Multiple (LCM) of 8051 and 8067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8051 and 8067. First we will calculate the prime factors of 8051 and 8067.

Prime Factorization of 8051

Prime Factorization of 8067

Now multiplying the highest exponent prime factors to calculate the LCM of 8051 and 8067.

LCM(8051,8067) = 83¹ × 97¹ × 3¹ × 2689¹
LCM(8051,8067) = 64947417