What is the Least Common Multiple of 71352 and 71371?

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 71352 and 71371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71352 and 71371, than apply into the LCM equation.

GCF(71352,71371) = 1
LCM(71352,71371) = ( 71352 × 71371) / 1
LCM(71352,71371) = 5092463592 / 1
LCM(71352,71371) = 5092463592

Least Common Multiple (LCM) of 71352 and 71371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71352 and 71371. First we will calculate the prime factors of 71352 and 71371.

Prime Factorization of 71352

Prime Factorization of 71371

Now multiplying the highest exponent prime factors to calculate the LCM of 71352 and 71371.

LCM(71352,71371) = 2³ × 3² × 991¹ × 149¹ × 479¹
LCM(71352,71371) = 5092463592