What is the Least Common Multiple of 71058 and 71071?

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 71058 and 71071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71058 and 71071, than apply into the LCM equation.

GCF(71058,71071) = 13
LCM(71058,71071) = ( 71058 × 71071) / 13
LCM(71058,71071) = 5050163118 / 13
LCM(71058,71071) = 388474086

Least Common Multiple (LCM) of 71058 and 71071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71058 and 71071. First we will calculate the prime factors of 71058 and 71071.

Prime Factorization of 71058

Prime Factorization of 71071

Now multiplying the highest exponent prime factors to calculate the LCM of 71058 and 71071.

LCM(71058,71071) = 2¹ × 3¹ × 13¹ × 911¹ × 7¹ × 11¹ × 71¹
LCM(71058,71071) = 388474086