What is the Least Common Multiple of 31884 and 31903?

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 31884 and 31903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31884 and 31903, than apply into the LCM equation.

GCF(31884,31903) = 1
LCM(31884,31903) = ( 31884 × 31903) / 1
LCM(31884,31903) = 1017195252 / 1
LCM(31884,31903) = 1017195252

Least Common Multiple (LCM) of 31884 and 31903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31884 and 31903. First we will calculate the prime factors of 31884 and 31903.

Prime Factorization of 31884

Prime Factorization of 31903

Now multiplying the highest exponent prime factors to calculate the LCM of 31884 and 31903.

LCM(31884,31903) = 2² × 3¹ × 2657¹ × 61¹ × 523¹
LCM(31884,31903) = 1017195252