What is the Least Common Multiple of 71585 and 71602?

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 71585 and 71602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71585 and 71602, than apply into the LCM equation.

GCF(71585,71602) = 1
LCM(71585,71602) = ( 71585 × 71602) / 1
LCM(71585,71602) = 5125629170 / 1
LCM(71585,71602) = 5125629170

Least Common Multiple (LCM) of 71585 and 71602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71585 and 71602. First we will calculate the prime factors of 71585 and 71602.

Prime Factorization of 71585

Prime Factorization of 71602

Now multiplying the highest exponent prime factors to calculate the LCM of 71585 and 71602.

LCM(71585,71602) = 5¹ × 103¹ × 139¹ × 2¹ × 35801¹
LCM(71585,71602) = 5125629170