What is the Least Common Multiple of 31666 and 31679?

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 31666 and 31679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31666 and 31679, than apply into the LCM equation.

GCF(31666,31679) = 1
LCM(31666,31679) = ( 31666 × 31679) / 1
LCM(31666,31679) = 1003147214 / 1
LCM(31666,31679) = 1003147214

Least Common Multiple (LCM) of 31666 and 31679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31666 and 31679. First we will calculate the prime factors of 31666 and 31679.

Prime Factorization of 31666

Prime Factorization of 31679

Now multiplying the highest exponent prime factors to calculate the LCM of 31666 and 31679.

LCM(31666,31679) = 2¹ × 71¹ × 223¹ × 79¹ × 401¹
LCM(31666,31679) = 1003147214