What is the Least Common Multiple of 8752 and 8767?

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 8752 and 8767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8752 and 8767, than apply into the LCM equation.

GCF(8752,8767) = 1
LCM(8752,8767) = ( 8752 × 8767) / 1
LCM(8752,8767) = 76728784 / 1
LCM(8752,8767) = 76728784

Least Common Multiple (LCM) of 8752 and 8767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8752 and 8767. First we will calculate the prime factors of 8752 and 8767.

Prime Factorization of 8752

Prime Factorization of 8767

Now multiplying the highest exponent prime factors to calculate the LCM of 8752 and 8767.

LCM(8752,8767) = 2⁴ × 547¹ × 11¹ × 797¹
LCM(8752,8767) = 76728784