What is the Least Common Multiple of 8754 and 8774?

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 8754 and 8774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8754 and 8774, than apply into the LCM equation.

GCF(8754,8774) = 2
LCM(8754,8774) = ( 8754 × 8774) / 2
LCM(8754,8774) = 76807596 / 2
LCM(8754,8774) = 38403798

Least Common Multiple (LCM) of 8754 and 8774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8754 and 8774. First we will calculate the prime factors of 8754 and 8774.

Prime Factorization of 8754

Prime Factorization of 8774

Now multiplying the highest exponent prime factors to calculate the LCM of 8754 and 8774.

LCM(8754,8774) = 2¹ × 3¹ × 1459¹ × 41¹ × 107¹
LCM(8754,8774) = 38403798