What is the Least Common Multiple of 31408 and 31421?

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 31408 and 31421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31408 and 31421, than apply into the LCM equation.

GCF(31408,31421) = 13
LCM(31408,31421) = ( 31408 × 31421) / 13
LCM(31408,31421) = 986870768 / 13
LCM(31408,31421) = 75913136

Least Common Multiple (LCM) of 31408 and 31421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31408 and 31421. First we will calculate the prime factors of 31408 and 31421.

Prime Factorization of 31408

Prime Factorization of 31421

Now multiplying the highest exponent prime factors to calculate the LCM of 31408 and 31421.

LCM(31408,31421) = 2⁴ × 13¹ × 151¹ × 2417¹
LCM(31408,31421) = 75913136