What is the Least Common Multiple of 12921 and 12936?

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 12921 and 12936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12921 and 12936, than apply into the LCM equation.

GCF(12921,12936) = 3
LCM(12921,12936) = ( 12921 × 12936) / 3
LCM(12921,12936) = 167146056 / 3
LCM(12921,12936) = 55715352

Least Common Multiple (LCM) of 12921 and 12936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12921 and 12936. First we will calculate the prime factors of 12921 and 12936.

Prime Factorization of 12921

Prime Factorization of 12936

Now multiplying the highest exponent prime factors to calculate the LCM of 12921 and 12936.

LCM(12921,12936) = 3¹ × 59¹ × 73¹ × 2³ × 7² × 11¹
LCM(12921,12936) = 55715352