What is the Least Common Multiple of 71344 and 71351?

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 71344 and 71351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71344 and 71351, than apply into the LCM equation.

GCF(71344,71351) = 7
LCM(71344,71351) = ( 71344 × 71351) / 7
LCM(71344,71351) = 5090465744 / 7
LCM(71344,71351) = 727209392

Least Common Multiple (LCM) of 71344 and 71351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71344 and 71351. First we will calculate the prime factors of 71344 and 71351.

Prime Factorization of 71344

Prime Factorization of 71351

Now multiplying the highest exponent prime factors to calculate the LCM of 71344 and 71351.

LCM(71344,71351) = 2⁴ × 7³ × 13¹ × 10193¹
LCM(71344,71351) = 727209392