What is the Least Common Multiple of 13114 and 13121?

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 13114 and 13121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13114 and 13121, than apply into the LCM equation.

GCF(13114,13121) = 1
LCM(13114,13121) = ( 13114 × 13121) / 1
LCM(13114,13121) = 172068794 / 1
LCM(13114,13121) = 172068794

Least Common Multiple (LCM) of 13114 and 13121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13114 and 13121. First we will calculate the prime factors of 13114 and 13121.

Prime Factorization of 13114

Prime Factorization of 13121

Now multiplying the highest exponent prime factors to calculate the LCM of 13114 and 13121.

LCM(13114,13121) = 2¹ × 79¹ × 83¹ × 13121¹
LCM(13114,13121) = 172068794