What is the Least Common Multiple of 31752 and 31767?

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 31752 and 31767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31752 and 31767, than apply into the LCM equation.

GCF(31752,31767) = 3
LCM(31752,31767) = ( 31752 × 31767) / 3
LCM(31752,31767) = 1008665784 / 3
LCM(31752,31767) = 336221928

Least Common Multiple (LCM) of 31752 and 31767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31752 and 31767. First we will calculate the prime factors of 31752 and 31767.

Prime Factorization of 31752

Prime Factorization of 31767

Now multiplying the highest exponent prime factors to calculate the LCM of 31752 and 31767.

LCM(31752,31767) = 2³ × 3⁴ × 7² × 10589¹
LCM(31752,31767) = 336221928