What is the Least Common Multiple of 31198 and 31208?

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 31198 and 31208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31198 and 31208, than apply into the LCM equation.

GCF(31198,31208) = 2
LCM(31198,31208) = ( 31198 × 31208) / 2
LCM(31198,31208) = 973627184 / 2
LCM(31198,31208) = 486813592

Least Common Multiple (LCM) of 31198 and 31208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31198 and 31208. First we will calculate the prime factors of 31198 and 31208.

Prime Factorization of 31198

Prime Factorization of 31208

Now multiplying the highest exponent prime factors to calculate the LCM of 31198 and 31208.

LCM(31198,31208) = 2³ × 19¹ × 821¹ × 47¹ × 83¹
LCM(31198,31208) = 486813592