What is the Least Common Multiple of 14901 and 14913?

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 14901 and 14913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14901 and 14913, than apply into the LCM equation.

GCF(14901,14913) = 3
LCM(14901,14913) = ( 14901 × 14913) / 3
LCM(14901,14913) = 222218613 / 3
LCM(14901,14913) = 74072871

Least Common Multiple (LCM) of 14901 and 14913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14901 and 14913. First we will calculate the prime factors of 14901 and 14913.

Prime Factorization of 14901

Prime Factorization of 14913

Now multiplying the highest exponent prime factors to calculate the LCM of 14901 and 14913.

LCM(14901,14913) = 3² × 4967¹ × 1657¹
LCM(14901,14913) = 74072871