What is the Least Common Multiple of 14769 and 14787?

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 14769 and 14787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14769 and 14787, than apply into the LCM equation.

GCF(14769,14787) = 9
LCM(14769,14787) = ( 14769 × 14787) / 9
LCM(14769,14787) = 218389203 / 9
LCM(14769,14787) = 24265467

Least Common Multiple (LCM) of 14769 and 14787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14769 and 14787. First we will calculate the prime factors of 14769 and 14787.

Prime Factorization of 14769

Prime Factorization of 14787

Now multiplying the highest exponent prime factors to calculate the LCM of 14769 and 14787.

LCM(14769,14787) = 3³ × 547¹ × 31¹ × 53¹
LCM(14769,14787) = 24265467