What is the Least Common Multiple of 8748 and 8763?

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 8748 and 8763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8748 and 8763, than apply into the LCM equation.

GCF(8748,8763) = 3
LCM(8748,8763) = ( 8748 × 8763) / 3
LCM(8748,8763) = 76658724 / 3
LCM(8748,8763) = 25552908

Least Common Multiple (LCM) of 8748 and 8763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8748 and 8763. First we will calculate the prime factors of 8748 and 8763.

Prime Factorization of 8748

Prime Factorization of 8763

Now multiplying the highest exponent prime factors to calculate the LCM of 8748 and 8763.

LCM(8748,8763) = 2² × 3⁷ × 23¹ × 127¹
LCM(8748,8763) = 25552908