What is the Least Common Multiple of 31874 and 31881?

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 31874 and 31881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31874 and 31881, than apply into the LCM equation.

GCF(31874,31881) = 1
LCM(31874,31881) = ( 31874 × 31881) / 1
LCM(31874,31881) = 1016174994 / 1
LCM(31874,31881) = 1016174994

Least Common Multiple (LCM) of 31874 and 31881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31874 and 31881. First we will calculate the prime factors of 31874 and 31881.

Prime Factorization of 31874

Prime Factorization of 31881

Now multiplying the highest exponent prime factors to calculate the LCM of 31874 and 31881.

LCM(31874,31881) = 2¹ × 15937¹ × 3¹ × 10627¹
LCM(31874,31881) = 1016174994