What is the Least Common Multiple of 86805 and 86824?

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 86805 and 86824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86805 and 86824, than apply into the LCM equation.

GCF(86805,86824) = 1
LCM(86805,86824) = ( 86805 × 86824) / 1
LCM(86805,86824) = 7536757320 / 1
LCM(86805,86824) = 7536757320

Least Common Multiple (LCM) of 86805 and 86824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86805 and 86824. First we will calculate the prime factors of 86805 and 86824.

Prime Factorization of 86805

Prime Factorization of 86824

Now multiplying the highest exponent prime factors to calculate the LCM of 86805 and 86824.

LCM(86805,86824) = 3³ × 5¹ × 643¹ × 2³ × 10853¹
LCM(86805,86824) = 7536757320