What is the Least Common Multiple of 31707 and 31711?

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 31707 and 31711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31707 and 31711, than apply into the LCM equation.

GCF(31707,31711) = 1
LCM(31707,31711) = ( 31707 × 31711) / 1
LCM(31707,31711) = 1005460677 / 1
LCM(31707,31711) = 1005460677

Least Common Multiple (LCM) of 31707 and 31711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31707 and 31711. First we will calculate the prime factors of 31707 and 31711.

Prime Factorization of 31707

Prime Factorization of 31711

Now multiplying the highest exponent prime factors to calculate the LCM of 31707 and 31711.

LCM(31707,31711) = 3² × 13¹ × 271¹ × 19¹ × 1669¹
LCM(31707,31711) = 1005460677