What is the Least Common Multiple of 86309 and 86326?

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 86309 and 86326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86309 and 86326, than apply into the LCM equation.

GCF(86309,86326) = 17
LCM(86309,86326) = ( 86309 × 86326) / 17
LCM(86309,86326) = 7450710734 / 17
LCM(86309,86326) = 438277102

Least Common Multiple (LCM) of 86309 and 86326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86309 and 86326. First we will calculate the prime factors of 86309 and 86326.

Prime Factorization of 86309

Prime Factorization of 86326

Now multiplying the highest exponent prime factors to calculate the LCM of 86309 and 86326.

LCM(86309,86326) = 17¹ × 5077¹ × 2¹ × 2539¹
LCM(86309,86326) = 438277102