What is the Least Common Multiple of 63756 and 63771?

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 63756 and 63771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63756 and 63771, than apply into the LCM equation.

GCF(63756,63771) = 3
LCM(63756,63771) = ( 63756 × 63771) / 3
LCM(63756,63771) = 4065783876 / 3
LCM(63756,63771) = 1355261292

Least Common Multiple (LCM) of 63756 and 63771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63756 and 63771. First we will calculate the prime factors of 63756 and 63771.

Prime Factorization of 63756

Prime Factorization of 63771

Now multiplying the highest exponent prime factors to calculate the LCM of 63756 and 63771.

LCM(63756,63771) = 2² × 3² × 7¹ × 11¹ × 23¹ × 29¹ × 733¹
LCM(63756,63771) = 1355261292