What is the Least Common Multiple of 86928 and 86941?

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 86928 and 86941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86928 and 86941, than apply into the LCM equation.

GCF(86928,86941) = 1
LCM(86928,86941) = ( 86928 × 86941) / 1
LCM(86928,86941) = 7557607248 / 1
LCM(86928,86941) = 7557607248

Least Common Multiple (LCM) of 86928 and 86941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86928 and 86941. First we will calculate the prime factors of 86928 and 86941.

Prime Factorization of 86928

Prime Factorization of 86941

Now multiplying the highest exponent prime factors to calculate the LCM of 86928 and 86941.

LCM(86928,86941) = 2⁴ × 3¹ × 1811¹ × 227¹ × 383¹
LCM(86928,86941) = 7557607248