What is the Least Common Multiple of 66669 and 66677?

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 66669 and 66677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66669 and 66677, than apply into the LCM equation.

GCF(66669,66677) = 1
LCM(66669,66677) = ( 66669 × 66677) / 1
LCM(66669,66677) = 4445288913 / 1
LCM(66669,66677) = 4445288913

Least Common Multiple (LCM) of 66669 and 66677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66669 and 66677. First we will calculate the prime factors of 66669 and 66677.

Prime Factorization of 66669

Prime Factorization of 66677

Now multiplying the highest exponent prime factors to calculate the LCM of 66669 and 66677.

LCM(66669,66677) = 3¹ × 71¹ × 313¹ × 13¹ × 23¹ × 223¹
LCM(66669,66677) = 4445288913