What is the Least Common Multiple of 86817 and 86833?

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 86817 and 86833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86817 and 86833, than apply into the LCM equation.

GCF(86817,86833) = 1
LCM(86817,86833) = ( 86817 × 86833) / 1
LCM(86817,86833) = 7538580561 / 1
LCM(86817,86833) = 7538580561

Least Common Multiple (LCM) of 86817 and 86833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86817 and 86833. First we will calculate the prime factors of 86817 and 86833.

Prime Factorization of 86817

Prime Factorization of 86833

Now multiplying the highest exponent prime factors to calculate the LCM of 86817 and 86833.

LCM(86817,86833) = 3¹ × 43¹ × 673¹ × 71¹ × 1223¹
LCM(86817,86833) = 7538580561