What is the Least Common Multiple of 71335 and 71345?

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 71335 and 71345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71335 and 71345, than apply into the LCM equation.

GCF(71335,71345) = 5
LCM(71335,71345) = ( 71335 × 71345) / 5
LCM(71335,71345) = 5089395575 / 5
LCM(71335,71345) = 1017879115

Least Common Multiple (LCM) of 71335 and 71345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71335 and 71345. First we will calculate the prime factors of 71335 and 71345.

Prime Factorization of 71335

Prime Factorization of 71345

Now multiplying the highest exponent prime factors to calculate the LCM of 71335 and 71345.

LCM(71335,71345) = 5¹ × 11¹ × 1297¹ × 19¹ × 751¹
LCM(71335,71345) = 1017879115