What is the Least Common Multiple of 29309 and 29327?

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 29309 and 29327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29309 and 29327, than apply into the LCM equation.

GCF(29309,29327) = 1
LCM(29309,29327) = ( 29309 × 29327) / 1
LCM(29309,29327) = 859545043 / 1
LCM(29309,29327) = 859545043

Least Common Multiple (LCM) of 29309 and 29327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29309 and 29327. First we will calculate the prime factors of 29309 and 29327.

Prime Factorization of 29309

Prime Factorization of 29327

Now multiplying the highest exponent prime factors to calculate the LCM of 29309 and 29327.

LCM(29309,29327) = 7¹ × 53¹ × 79¹ × 29327¹
LCM(29309,29327) = 859545043