What is the Least Common Multiple of 71300 and 71315?

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 71300 and 71315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71300 and 71315, than apply into the LCM equation.

GCF(71300,71315) = 5
LCM(71300,71315) = ( 71300 × 71315) / 5
LCM(71300,71315) = 5084759500 / 5
LCM(71300,71315) = 1016951900

Least Common Multiple (LCM) of 71300 and 71315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71300 and 71315. First we will calculate the prime factors of 71300 and 71315.

Prime Factorization of 71300

Prime Factorization of 71315

Now multiplying the highest exponent prime factors to calculate the LCM of 71300 and 71315.

LCM(71300,71315) = 2² × 5² × 23¹ × 31¹ × 17¹ × 839¹
LCM(71300,71315) = 1016951900