What is the Least Common Multiple of 63805 and 63825?

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 63805 and 63825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63805 and 63825, than apply into the LCM equation.

GCF(63805,63825) = 5
LCM(63805,63825) = ( 63805 × 63825) / 5
LCM(63805,63825) = 4072354125 / 5
LCM(63805,63825) = 814470825

Least Common Multiple (LCM) of 63805 and 63825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63805 and 63825. First we will calculate the prime factors of 63805 and 63825.

Prime Factorization of 63805

Prime Factorization of 63825

Now multiplying the highest exponent prime factors to calculate the LCM of 63805 and 63825.

LCM(63805,63825) = 5² × 7¹ × 1823¹ × 3¹ × 23¹ × 37¹
LCM(63805,63825) = 814470825