What is the Least Common Multiple of 63575 and 63580?

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 63575 and 63580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63575 and 63580, than apply into the LCM equation.

GCF(63575,63580) = 5
LCM(63575,63580) = ( 63575 × 63580) / 5
LCM(63575,63580) = 4042098500 / 5
LCM(63575,63580) = 808419700

Least Common Multiple (LCM) of 63575 and 63580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63575 and 63580. First we will calculate the prime factors of 63575 and 63580.

Prime Factorization of 63575

Prime Factorization of 63580

Now multiplying the highest exponent prime factors to calculate the LCM of 63575 and 63580.

LCM(63575,63580) = 5² × 2543¹ × 2² × 11¹ × 17²
LCM(63575,63580) = 808419700