What is the Least Common Multiple of 71293 and 71303?

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 71293 and 71303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71293 and 71303, than apply into the LCM equation.

GCF(71293,71303) = 1
LCM(71293,71303) = ( 71293 × 71303) / 1
LCM(71293,71303) = 5083404779 / 1
LCM(71293,71303) = 5083404779

Least Common Multiple (LCM) of 71293 and 71303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71293 and 71303. First we will calculate the prime factors of 71293 and 71303.

Prime Factorization of 71293

Prime Factorization of 71303

Now multiplying the highest exponent prime factors to calculate the LCM of 71293 and 71303.

LCM(71293,71303) = 71293¹ × 113¹ × 631¹
LCM(71293,71303) = 5083404779