What is the Least Common Multiple of 68009 and 68027?

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 68009 and 68027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68009 and 68027, than apply into the LCM equation.

GCF(68009,68027) = 1
LCM(68009,68027) = ( 68009 × 68027) / 1
LCM(68009,68027) = 4626448243 / 1
LCM(68009,68027) = 4626448243

Least Common Multiple (LCM) of 68009 and 68027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68009 and 68027. First we will calculate the prime factors of 68009 and 68027.

Prime Factorization of 68009

Prime Factorization of 68027

Now multiplying the highest exponent prime factors to calculate the LCM of 68009 and 68027.

LCM(68009,68027) = 47¹ × 1447¹ × 59¹ × 1153¹
LCM(68009,68027) = 4626448243