What is the Least Common Multiple of 86826 and 86832?

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 86826 and 86832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86826 and 86832, than apply into the LCM equation.

GCF(86826,86832) = 6
LCM(86826,86832) = ( 86826 × 86832) / 6
LCM(86826,86832) = 7539275232 / 6
LCM(86826,86832) = 1256545872

Least Common Multiple (LCM) of 86826 and 86832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86826 and 86832. First we will calculate the prime factors of 86826 and 86832.

Prime Factorization of 86826

Prime Factorization of 86832

Now multiplying the highest exponent prime factors to calculate the LCM of 86826 and 86832.

LCM(86826,86832) = 2⁴ × 3⁴ × 29¹ × 499¹ × 67¹
LCM(86826,86832) = 1256545872