What is the Least Common Multiple of 71589 and 71603?

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 71589 and 71603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71589 and 71603, than apply into the LCM equation.

GCF(71589,71603) = 7
LCM(71589,71603) = ( 71589 × 71603) / 7
LCM(71589,71603) = 5125987167 / 7
LCM(71589,71603) = 732283881

Least Common Multiple (LCM) of 71589 and 71603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71589 and 71603. First we will calculate the prime factors of 71589 and 71603.

Prime Factorization of 71589

Prime Factorization of 71603

Now multiplying the highest exponent prime factors to calculate the LCM of 71589 and 71603.

LCM(71589,71603) = 3¹ × 7² × 487¹ × 53¹ × 193¹
LCM(71589,71603) = 732283881