What is the Least Common Multiple of 71500 and 71513?

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 71500 and 71513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71500 and 71513, than apply into the LCM equation.

GCF(71500,71513) = 13
LCM(71500,71513) = ( 71500 × 71513) / 13
LCM(71500,71513) = 5113179500 / 13
LCM(71500,71513) = 393321500

Least Common Multiple (LCM) of 71500 and 71513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71500 and 71513. First we will calculate the prime factors of 71500 and 71513.

Prime Factorization of 71500

Prime Factorization of 71513

Now multiplying the highest exponent prime factors to calculate the LCM of 71500 and 71513.

LCM(71500,71513) = 2² × 5³ × 11¹ × 13¹ × 5501¹
LCM(71500,71513) = 393321500