What is the Least Common Multiple of 12103 and 12122?

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 12103 and 12122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12103 and 12122, than apply into the LCM equation.

GCF(12103,12122) = 19
LCM(12103,12122) = ( 12103 × 12122) / 19
LCM(12103,12122) = 146712566 / 19
LCM(12103,12122) = 7721714

Least Common Multiple (LCM) of 12103 and 12122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12103 and 12122. First we will calculate the prime factors of 12103 and 12122.

Prime Factorization of 12103

Prime Factorization of 12122

Now multiplying the highest exponent prime factors to calculate the LCM of 12103 and 12122.

LCM(12103,12122) = 7² × 13¹ × 19¹ × 2¹ × 11¹ × 29¹
LCM(12103,12122) = 7721714