What is the Least Common Multiple of 63756 and 63763?

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 63763 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 63763, than apply into the LCM equation.

GCF(63756,63763) = 7
LCM(63756,63763) = ( 63756 × 63763) / 7
LCM(63756,63763) = 4065273828 / 7
LCM(63756,63763) = 580753404

Least Common Multiple (LCM) of 63756 and 63763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63756 and 63763. First we will calculate the prime factors of 63756 and 63763.

Prime Factorization of 63756

Prime Factorization of 63763

Now multiplying the highest exponent prime factors to calculate the LCM of 63756 and 63763.

LCM(63756,63763) = 2² × 3² × 7¹ × 11¹ × 23¹ × 9109¹
LCM(63756,63763) = 580753404