What is the Least Common Multiple of 71575 and 71593?

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 71575 and 71593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71575 and 71593, than apply into the LCM equation.

GCF(71575,71593) = 1
LCM(71575,71593) = ( 71575 × 71593) / 1
LCM(71575,71593) = 5124268975 / 1
LCM(71575,71593) = 5124268975

Least Common Multiple (LCM) of 71575 and 71593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71575 and 71593. First we will calculate the prime factors of 71575 and 71593.

Prime Factorization of 71575

Prime Factorization of 71593

Now multiplying the highest exponent prime factors to calculate the LCM of 71575 and 71593.

LCM(71575,71593) = 5² × 7¹ × 409¹ × 71593¹
LCM(71575,71593) = 5124268975