What is the Least Common Multiple of 31949 and 31957?

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 31949 and 31957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31949 and 31957, than apply into the LCM equation.

GCF(31949,31957) = 1
LCM(31949,31957) = ( 31949 × 31957) / 1
LCM(31949,31957) = 1020994193 / 1
LCM(31949,31957) = 1020994193

Least Common Multiple (LCM) of 31949 and 31957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31949 and 31957. First we will calculate the prime factors of 31949 and 31957.

Prime Factorization of 31949

Prime Factorization of 31957

Now multiplying the highest exponent prime factors to calculate the LCM of 31949 and 31957.

LCM(31949,31957) = 43¹ × 743¹ × 31957¹
LCM(31949,31957) = 1020994193