What is the Least Common Multiple of 8309 and 8327?

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 8309 and 8327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8309 and 8327, than apply into the LCM equation.

GCF(8309,8327) = 1
LCM(8309,8327) = ( 8309 × 8327) / 1
LCM(8309,8327) = 69189043 / 1
LCM(8309,8327) = 69189043

Least Common Multiple (LCM) of 8309 and 8327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8309 and 8327. First we will calculate the prime factors of 8309 and 8327.

Prime Factorization of 8309

Prime Factorization of 8327

Now multiplying the highest exponent prime factors to calculate the LCM of 8309 and 8327.

LCM(8309,8327) = 7¹ × 1187¹ × 11¹ × 757¹
LCM(8309,8327) = 69189043