What is the Least Common Multiple of 31014 and 31033?

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 31014 and 31033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31014 and 31033, than apply into the LCM equation.

GCF(31014,31033) = 1
LCM(31014,31033) = ( 31014 × 31033) / 1
LCM(31014,31033) = 962457462 / 1
LCM(31014,31033) = 962457462

Least Common Multiple (LCM) of 31014 and 31033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31014 and 31033. First we will calculate the prime factors of 31014 and 31033.

Prime Factorization of 31014

Prime Factorization of 31033

Now multiplying the highest exponent prime factors to calculate the LCM of 31014 and 31033.

LCM(31014,31033) = 2¹ × 3² × 1723¹ × 31033¹
LCM(31014,31033) = 962457462