What is the Least Common Multiple of 87580 and 87587?

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 87587 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 87587, than apply into the LCM equation.

GCF(87580,87587) = 1
LCM(87580,87587) = ( 87580 × 87587) / 1
LCM(87580,87587) = 7670869460 / 1
LCM(87580,87587) = 7670869460

Least Common Multiple (LCM) of 87580 and 87587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87580 and 87587. First we will calculate the prime factors of 87580 and 87587.

Prime Factorization of 87580

Prime Factorization of 87587

Now multiplying the highest exponent prime factors to calculate the LCM of 87580 and 87587.

LCM(87580,87587) = 2² × 5¹ × 29¹ × 151¹ × 87587¹
LCM(87580,87587) = 7670869460