What is the Least Common Multiple of 31945 and 31960?

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 31945 and 31960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31945 and 31960, than apply into the LCM equation.

GCF(31945,31960) = 5
LCM(31945,31960) = ( 31945 × 31960) / 5
LCM(31945,31960) = 1020962200 / 5
LCM(31945,31960) = 204192440

Least Common Multiple (LCM) of 31945 and 31960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31945 and 31960. First we will calculate the prime factors of 31945 and 31960.

Prime Factorization of 31945

Prime Factorization of 31960

Now multiplying the highest exponent prime factors to calculate the LCM of 31945 and 31960.

LCM(31945,31960) = 5¹ × 6389¹ × 2³ × 17¹ × 47¹
LCM(31945,31960) = 204192440