What is the Least Common Multiple of 31280 and 31297?

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 31280 and 31297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31280 and 31297, than apply into the LCM equation.

GCF(31280,31297) = 17
LCM(31280,31297) = ( 31280 × 31297) / 17
LCM(31280,31297) = 978970160 / 17
LCM(31280,31297) = 57586480

Least Common Multiple (LCM) of 31280 and 31297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31280 and 31297. First we will calculate the prime factors of 31280 and 31297.

Prime Factorization of 31280

Prime Factorization of 31297

Now multiplying the highest exponent prime factors to calculate the LCM of 31280 and 31297.

LCM(31280,31297) = 2⁴ × 5¹ × 17¹ × 23¹ × 7¹ × 263¹
LCM(31280,31297) = 57586480