What is the Least Common Multiple of 71589 and 71608?

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 71608 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 71608, than apply into the LCM equation.

GCF(71589,71608) = 1
LCM(71589,71608) = ( 71589 × 71608) / 1
LCM(71589,71608) = 5126345112 / 1
LCM(71589,71608) = 5126345112

Least Common Multiple (LCM) of 71589 and 71608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71589 and 71608. First we will calculate the prime factors of 71589 and 71608.

Prime Factorization of 71589

Prime Factorization of 71608

Now multiplying the highest exponent prime factors to calculate the LCM of 71589 and 71608.

LCM(71589,71608) = 3¹ × 7² × 487¹ × 2³ × 8951¹
LCM(71589,71608) = 5126345112