What is the Least Common Multiple of 12912 and 12930?

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 12912 and 12930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12912 and 12930, than apply into the LCM equation.

GCF(12912,12930) = 6
LCM(12912,12930) = ( 12912 × 12930) / 6
LCM(12912,12930) = 166952160 / 6
LCM(12912,12930) = 27825360

Least Common Multiple (LCM) of 12912 and 12930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12912 and 12930. First we will calculate the prime factors of 12912 and 12930.

Prime Factorization of 12912

Prime Factorization of 12930

Now multiplying the highest exponent prime factors to calculate the LCM of 12912 and 12930.

LCM(12912,12930) = 2⁴ × 3¹ × 269¹ × 5¹ × 431¹
LCM(12912,12930) = 27825360