What is the Least Common Multiple of 63825 and 63837?

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 63825 and 63837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63825 and 63837, than apply into the LCM equation.

GCF(63825,63837) = 3
LCM(63825,63837) = ( 63825 × 63837) / 3
LCM(63825,63837) = 4074396525 / 3
LCM(63825,63837) = 1358132175

Least Common Multiple (LCM) of 63825 and 63837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63825 and 63837. First we will calculate the prime factors of 63825 and 63837.

Prime Factorization of 63825

Prime Factorization of 63837

Now multiplying the highest exponent prime factors to calculate the LCM of 63825 and 63837.

LCM(63825,63837) = 3² × 5² × 23¹ × 37¹ × 41¹ × 173¹
LCM(63825,63837) = 1358132175