What is the Least Common Multiple of 31461 and 31474?

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 31461 and 31474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31461 and 31474, than apply into the LCM equation.

GCF(31461,31474) = 1
LCM(31461,31474) = ( 31461 × 31474) / 1
LCM(31461,31474) = 990203514 / 1
LCM(31461,31474) = 990203514

Least Common Multiple (LCM) of 31461 and 31474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31461 and 31474. First we will calculate the prime factors of 31461 and 31474.

Prime Factorization of 31461

Prime Factorization of 31474

Now multiplying the highest exponent prime factors to calculate the LCM of 31461 and 31474.

LCM(31461,31474) = 3¹ × 10487¹ × 2¹ × 15737¹
LCM(31461,31474) = 990203514