What is the Least Common Multiple of 68904 and 68909?

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 68904 and 68909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68904 and 68909, than apply into the LCM equation.

GCF(68904,68909) = 1
LCM(68904,68909) = ( 68904 × 68909) / 1
LCM(68904,68909) = 4748105736 / 1
LCM(68904,68909) = 4748105736

Least Common Multiple (LCM) of 68904 and 68909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68904 and 68909. First we will calculate the prime factors of 68904 and 68909.

Prime Factorization of 68904

Prime Factorization of 68909

Now multiplying the highest exponent prime factors to calculate the LCM of 68904 and 68909.

LCM(68904,68909) = 2³ × 3³ × 11¹ × 29¹ × 68909¹
LCM(68904,68909) = 4748105736