What is the Least Common Multiple of 87580 and 87589?

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 87580 and 87589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87580 and 87589, than apply into the LCM equation.

GCF(87580,87589) = 1
LCM(87580,87589) = ( 87580 × 87589) / 1
LCM(87580,87589) = 7671044620 / 1
LCM(87580,87589) = 7671044620

Least Common Multiple (LCM) of 87580 and 87589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87580 and 87589. First we will calculate the prime factors of 87580 and 87589.

Prime Factorization of 87580

Prime Factorization of 87589

Now multiplying the highest exponent prime factors to calculate the LCM of 87580 and 87589.

LCM(87580,87589) = 2² × 5¹ × 29¹ × 151¹ × 87589¹
LCM(87580,87589) = 7671044620