What is the Least Common Multiple of 71315 and 71335?

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 71315 and 71335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71315 and 71335, than apply into the LCM equation.

GCF(71315,71335) = 5
LCM(71315,71335) = ( 71315 × 71335) / 5
LCM(71315,71335) = 5087255525 / 5
LCM(71315,71335) = 1017451105

Least Common Multiple (LCM) of 71315 and 71335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71315 and 71335. First we will calculate the prime factors of 71315 and 71335.

Prime Factorization of 71315

Prime Factorization of 71335

Now multiplying the highest exponent prime factors to calculate the LCM of 71315 and 71335.

LCM(71315,71335) = 5¹ × 17¹ × 839¹ × 11¹ × 1297¹
LCM(71315,71335) = 1017451105