What is the Least Common Multiple of 31345 and 31350?

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 31345 and 31350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31345 and 31350, than apply into the LCM equation.

GCF(31345,31350) = 5
LCM(31345,31350) = ( 31345 × 31350) / 5
LCM(31345,31350) = 982665750 / 5
LCM(31345,31350) = 196533150

Least Common Multiple (LCM) of 31345 and 31350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31345 and 31350. First we will calculate the prime factors of 31345 and 31350.

Prime Factorization of 31345

Prime Factorization of 31350

Now multiplying the highest exponent prime factors to calculate the LCM of 31345 and 31350.

LCM(31345,31350) = 5² × 6269¹ × 2¹ × 3¹ × 11¹ × 19¹
LCM(31345,31350) = 196533150