What is the Least Common Multiple of 68401 and 68405?

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 68401 and 68405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68401 and 68405, than apply into the LCM equation.

GCF(68401,68405) = 1
LCM(68401,68405) = ( 68401 × 68405) / 1
LCM(68401,68405) = 4678970405 / 1
LCM(68401,68405) = 4678970405

Least Common Multiple (LCM) of 68401 and 68405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68401 and 68405. First we will calculate the prime factors of 68401 and 68405.

Prime Factorization of 68401

Prime Factorization of 68405

Now multiplying the highest exponent prime factors to calculate the LCM of 68401 and 68405.

LCM(68401,68405) = 73¹ × 937¹ × 5¹ × 13681¹
LCM(68401,68405) = 4678970405