What is the Least Common Multiple of 12892 and 12903?

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 12892 and 12903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12892 and 12903, than apply into the LCM equation.

GCF(12892,12903) = 11
LCM(12892,12903) = ( 12892 × 12903) / 11
LCM(12892,12903) = 166345476 / 11
LCM(12892,12903) = 15122316

Least Common Multiple (LCM) of 12892 and 12903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12892 and 12903. First we will calculate the prime factors of 12892 and 12903.

Prime Factorization of 12892

Prime Factorization of 12903

Now multiplying the highest exponent prime factors to calculate the LCM of 12892 and 12903.

LCM(12892,12903) = 2² × 11¹ × 293¹ × 3¹ × 17¹ × 23¹
LCM(12892,12903) = 15122316