What is the Least Common Multiple of 71059 and 71074?

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 71059 and 71074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71059 and 71074, than apply into the LCM equation.

GCF(71059,71074) = 1
LCM(71059,71074) = ( 71059 × 71074) / 1
LCM(71059,71074) = 5050447366 / 1
LCM(71059,71074) = 5050447366

Least Common Multiple (LCM) of 71059 and 71074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71059 and 71074. First we will calculate the prime factors of 71059 and 71074.

Prime Factorization of 71059

Prime Factorization of 71074

Now multiplying the highest exponent prime factors to calculate the LCM of 71059 and 71074.

LCM(71059,71074) = 71059¹ × 2¹ × 35537¹
LCM(71059,71074) = 5050447366