What is the Least Common Multiple of 31945 and 31955?

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 31955 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 31955, than apply into the LCM equation.

GCF(31945,31955) = 5
LCM(31945,31955) = ( 31945 × 31955) / 5
LCM(31945,31955) = 1020802475 / 5
LCM(31945,31955) = 204160495

Least Common Multiple (LCM) of 31945 and 31955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31945 and 31955. First we will calculate the prime factors of 31945 and 31955.

Prime Factorization of 31945

Prime Factorization of 31955

Now multiplying the highest exponent prime factors to calculate the LCM of 31945 and 31955.

LCM(31945,31955) = 5¹ × 6389¹ × 7¹ × 11¹ × 83¹
LCM(31945,31955) = 204160495