What is the Least Common Multiple of 63585 and 63590?

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 63585 and 63590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63585 and 63590, than apply into the LCM equation.

GCF(63585,63590) = 5
LCM(63585,63590) = ( 63585 × 63590) / 5
LCM(63585,63590) = 4043370150 / 5
LCM(63585,63590) = 808674030

Least Common Multiple (LCM) of 63585 and 63590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63585 and 63590. First we will calculate the prime factors of 63585 and 63590.

Prime Factorization of 63585

Prime Factorization of 63590

Now multiplying the highest exponent prime factors to calculate the LCM of 63585 and 63590.

LCM(63585,63590) = 3⁴ × 5¹ × 157¹ × 2¹ × 6359¹
LCM(63585,63590) = 808674030