What is the Least Common Multiple of 86909 and 86928?

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 86909 and 86928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86909 and 86928, than apply into the LCM equation.

GCF(86909,86928) = 1
LCM(86909,86928) = ( 86909 × 86928) / 1
LCM(86909,86928) = 7554825552 / 1
LCM(86909,86928) = 7554825552

Least Common Multiple (LCM) of 86909 and 86928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86909 and 86928. First we will calculate the prime factors of 86909 and 86928.

Prime Factorization of 86909

Prime Factorization of 86928

Now multiplying the highest exponent prime factors to calculate the LCM of 86909 and 86928.

LCM(86909,86928) = 233¹ × 373¹ × 2⁴ × 3¹ × 1811¹
LCM(86909,86928) = 7554825552