What is the Least Common Multiple of 31330 and 31343?

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 31330 and 31343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31330 and 31343, than apply into the LCM equation.

GCF(31330,31343) = 13
LCM(31330,31343) = ( 31330 × 31343) / 13
LCM(31330,31343) = 981976190 / 13
LCM(31330,31343) = 75536630

Least Common Multiple (LCM) of 31330 and 31343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31330 and 31343. First we will calculate the prime factors of 31330 and 31343.

Prime Factorization of 31330

Prime Factorization of 31343

Now multiplying the highest exponent prime factors to calculate the LCM of 31330 and 31343.

LCM(31330,31343) = 2¹ × 5¹ × 13¹ × 241¹ × 2411¹
LCM(31330,31343) = 75536630