What is the Least Common Multiple of 12936 and 12947?

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 12936 and 12947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12936 and 12947, than apply into the LCM equation.

GCF(12936,12947) = 11
LCM(12936,12947) = ( 12936 × 12947) / 11
LCM(12936,12947) = 167482392 / 11
LCM(12936,12947) = 15225672

Least Common Multiple (LCM) of 12936 and 12947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12936 and 12947. First we will calculate the prime factors of 12936 and 12947.

Prime Factorization of 12936

Prime Factorization of 12947

Now multiplying the highest exponent prime factors to calculate the LCM of 12936 and 12947.

LCM(12936,12947) = 2³ × 3¹ × 7² × 11² × 107¹
LCM(12936,12947) = 15225672