What is the Least Common Multiple of 12916 and 12935?

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 12916 and 12935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12916 and 12935, than apply into the LCM equation.

GCF(12916,12935) = 1
LCM(12916,12935) = ( 12916 × 12935) / 1
LCM(12916,12935) = 167068460 / 1
LCM(12916,12935) = 167068460

Least Common Multiple (LCM) of 12916 and 12935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12916 and 12935. First we will calculate the prime factors of 12916 and 12935.

Prime Factorization of 12916

Prime Factorization of 12935

Now multiplying the highest exponent prime factors to calculate the LCM of 12916 and 12935.

LCM(12916,12935) = 2² × 3229¹ × 5¹ × 13¹ × 199¹
LCM(12916,12935) = 167068460