What is the Least Common Multiple of 31938 and 31949?

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 31949 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 31949, than apply into the LCM equation.

GCF(31938,31949) = 1
LCM(31938,31949) = ( 31938 × 31949) / 1
LCM(31938,31949) = 1020387162 / 1
LCM(31938,31949) = 1020387162

Least Common Multiple (LCM) of 31938 and 31949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31938 and 31949. First we will calculate the prime factors of 31938 and 31949.

Prime Factorization of 31938

Prime Factorization of 31949

Now multiplying the highest exponent prime factors to calculate the LCM of 31938 and 31949.

LCM(31938,31949) = 2¹ × 3¹ × 5323¹ × 43¹ × 743¹
LCM(31938,31949) = 1020387162