What is the Least Common Multiple of 8764 and 8778?

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 8764 and 8778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8764 and 8778, than apply into the LCM equation.

GCF(8764,8778) = 14
LCM(8764,8778) = ( 8764 × 8778) / 14
LCM(8764,8778) = 76930392 / 14
LCM(8764,8778) = 5495028

Least Common Multiple (LCM) of 8764 and 8778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8778. First we will calculate the prime factors of 8764 and 8778.

Prime Factorization of 8764

Prime Factorization of 8778

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8778.

LCM(8764,8778) = 2² × 7¹ × 313¹ × 3¹ × 11¹ × 19¹
LCM(8764,8778) = 5495028