What is the Least Common Multiple of 71285 and 71291?

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 71285 and 71291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71285 and 71291, than apply into the LCM equation.

GCF(71285,71291) = 1
LCM(71285,71291) = ( 71285 × 71291) / 1
LCM(71285,71291) = 5081978935 / 1
LCM(71285,71291) = 5081978935

Least Common Multiple (LCM) of 71285 and 71291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71285 and 71291. First we will calculate the prime factors of 71285 and 71291.

Prime Factorization of 71285

Prime Factorization of 71291

Now multiplying the highest exponent prime factors to calculate the LCM of 71285 and 71291.

LCM(71285,71291) = 5¹ × 53¹ × 269¹ × 11¹ × 6481¹
LCM(71285,71291) = 5081978935