What is the Least Common Multiple of 63825 and 63831?

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 63831 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 63831, than apply into the LCM equation.

GCF(63825,63831) = 3
LCM(63825,63831) = ( 63825 × 63831) / 3
LCM(63825,63831) = 4074013575 / 3
LCM(63825,63831) = 1358004525

Least Common Multiple (LCM) of 63825 and 63831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63825 and 63831. First we will calculate the prime factors of 63825 and 63831.

Prime Factorization of 63825

Prime Factorization of 63831

Now multiplying the highest exponent prime factors to calculate the LCM of 63825 and 63831.

LCM(63825,63831) = 3¹ × 5² × 23¹ × 37¹ × 21277¹
LCM(63825,63831) = 1358004525