What is the Least Common Multiple of 63580 and 63587?

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 63580 and 63587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63580 and 63587, than apply into the LCM equation.

GCF(63580,63587) = 1
LCM(63580,63587) = ( 63580 × 63587) / 1
LCM(63580,63587) = 4042861460 / 1
LCM(63580,63587) = 4042861460

Least Common Multiple (LCM) of 63580 and 63587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63580 and 63587. First we will calculate the prime factors of 63580 and 63587.

Prime Factorization of 63580

Prime Factorization of 63587

Now multiplying the highest exponent prime factors to calculate the LCM of 63580 and 63587.

LCM(63580,63587) = 2² × 5¹ × 11¹ × 17² × 63587¹
LCM(63580,63587) = 4042861460