What is the Least Common Multiple of 31454 and 31472?

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 31454 and 31472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31454 and 31472, than apply into the LCM equation.

GCF(31454,31472) = 2
LCM(31454,31472) = ( 31454 × 31472) / 2
LCM(31454,31472) = 989920288 / 2
LCM(31454,31472) = 494960144

Least Common Multiple (LCM) of 31454 and 31472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31454 and 31472. First we will calculate the prime factors of 31454 and 31472.

Prime Factorization of 31454

Prime Factorization of 31472

Now multiplying the highest exponent prime factors to calculate the LCM of 31454 and 31472.

LCM(31454,31472) = 2⁴ × 15727¹ × 7¹ × 281¹
LCM(31454,31472) = 494960144