What is the Least Common Multiple of 61580 and 61587?

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 61580 and 61587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61580 and 61587, than apply into the LCM equation.

GCF(61580,61587) = 1
LCM(61580,61587) = ( 61580 × 61587) / 1
LCM(61580,61587) = 3792527460 / 1
LCM(61580,61587) = 3792527460

Least Common Multiple (LCM) of 61580 and 61587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61580 and 61587. First we will calculate the prime factors of 61580 and 61587.

Prime Factorization of 61580

Prime Factorization of 61587

Now multiplying the highest exponent prime factors to calculate the LCM of 61580 and 61587.

LCM(61580,61587) = 2² × 5¹ × 3079¹ × 3³ × 2281¹
LCM(61580,61587) = 3792527460