What is the Least Common Multiple of 66898 and 66911?

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 66898 and 66911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66898 and 66911, than apply into the LCM equation.

GCF(66898,66911) = 13
LCM(66898,66911) = ( 66898 × 66911) / 13
LCM(66898,66911) = 4476212078 / 13
LCM(66898,66911) = 344324006

Least Common Multiple (LCM) of 66898 and 66911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66898 and 66911. First we will calculate the prime factors of 66898 and 66911.

Prime Factorization of 66898

Prime Factorization of 66911

Now multiplying the highest exponent prime factors to calculate the LCM of 66898 and 66911.

LCM(66898,66911) = 2¹ × 13¹ × 31¹ × 83¹ × 5147¹
LCM(66898,66911) = 344324006