What is the Least Common Multiple of 71298 and 71313?

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 71298 and 71313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71298 and 71313, than apply into the LCM equation.

GCF(71298,71313) = 3
LCM(71298,71313) = ( 71298 × 71313) / 3
LCM(71298,71313) = 5084474274 / 3
LCM(71298,71313) = 1694824758

Least Common Multiple (LCM) of 71298 and 71313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71298 and 71313. First we will calculate the prime factors of 71298 and 71313.

Prime Factorization of 71298

Prime Factorization of 71313

Now multiplying the highest exponent prime factors to calculate the LCM of 71298 and 71313.

LCM(71298,71313) = 2¹ × 3² × 17¹ × 233¹ × 11¹ × 2161¹
LCM(71298,71313) = 1694824758