What is the Least Common Multiple of 31938 and 31958?

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 31938 and 31958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31938 and 31958, than apply into the LCM equation.

GCF(31938,31958) = 2
LCM(31938,31958) = ( 31938 × 31958) / 2
LCM(31938,31958) = 1020674604 / 2
LCM(31938,31958) = 510337302

Least Common Multiple (LCM) of 31938 and 31958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31938 and 31958. First we will calculate the prime factors of 31938 and 31958.

Prime Factorization of 31938

Prime Factorization of 31958

Now multiplying the highest exponent prime factors to calculate the LCM of 31938 and 31958.

LCM(31938,31958) = 2¹ × 3¹ × 5323¹ × 19¹ × 29²
LCM(31938,31958) = 510337302