What is the Least Common Multiple of 31517 and 31532?

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 31517 and 31532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31517 and 31532, than apply into the LCM equation.

GCF(31517,31532) = 1
LCM(31517,31532) = ( 31517 × 31532) / 1
LCM(31517,31532) = 993794044 / 1
LCM(31517,31532) = 993794044

Least Common Multiple (LCM) of 31517 and 31532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31517 and 31532. First we will calculate the prime factors of 31517 and 31532.

Prime Factorization of 31517

Prime Factorization of 31532

Now multiplying the highest exponent prime factors to calculate the LCM of 31517 and 31532.

LCM(31517,31532) = 31517¹ × 2² × 7883¹
LCM(31517,31532) = 993794044