What is the Least Common Multiple of 86928 and 86946?

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 86946 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 86946, than apply into the LCM equation.

GCF(86928,86946) = 6
LCM(86928,86946) = ( 86928 × 86946) / 6
LCM(86928,86946) = 7558041888 / 6
LCM(86928,86946) = 1259673648

Least Common Multiple (LCM) of 86928 and 86946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86928 and 86946. First we will calculate the prime factors of 86928 and 86946.

Prime Factorization of 86928

Prime Factorization of 86946

Now multiplying the highest exponent prime factors to calculate the LCM of 86928 and 86946.

LCM(86928,86946) = 2⁴ × 3¹ × 1811¹ × 43¹ × 337¹
LCM(86928,86946) = 1259673648