What is the Least Common Multiple of 12786 and 12797?

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 12786 and 12797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12786 and 12797, than apply into the LCM equation.

GCF(12786,12797) = 1
LCM(12786,12797) = ( 12786 × 12797) / 1
LCM(12786,12797) = 163622442 / 1
LCM(12786,12797) = 163622442

Least Common Multiple (LCM) of 12786 and 12797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12786 and 12797. First we will calculate the prime factors of 12786 and 12797.

Prime Factorization of 12786

Prime Factorization of 12797

Now multiplying the highest exponent prime factors to calculate the LCM of 12786 and 12797.

LCM(12786,12797) = 2¹ × 3¹ × 2131¹ × 67¹ × 191¹
LCM(12786,12797) = 163622442