What is the Least Common Multiple of 31297 and 31303?

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 31297 and 31303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31297 and 31303, than apply into the LCM equation.

GCF(31297,31303) = 1
LCM(31297,31303) = ( 31297 × 31303) / 1
LCM(31297,31303) = 979689991 / 1
LCM(31297,31303) = 979689991

Least Common Multiple (LCM) of 31297 and 31303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31297 and 31303. First we will calculate the prime factors of 31297 and 31303.

Prime Factorization of 31297

Prime Factorization of 31303

Now multiplying the highest exponent prime factors to calculate the LCM of 31297 and 31303.

LCM(31297,31303) = 7¹ × 17¹ × 263¹ × 23¹ × 1361¹
LCM(31297,31303) = 979689991