What is the Least Common Multiple of 67405 and 67418?

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 67405 and 67418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67405 and 67418, than apply into the LCM equation.

GCF(67405,67418) = 13
LCM(67405,67418) = ( 67405 × 67418) / 13
LCM(67405,67418) = 4544310290 / 13
LCM(67405,67418) = 349562330

Least Common Multiple (LCM) of 67405 and 67418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67405 and 67418. First we will calculate the prime factors of 67405 and 67418.

Prime Factorization of 67405

Prime Factorization of 67418

Now multiplying the highest exponent prime factors to calculate the LCM of 67405 and 67418.

LCM(67405,67418) = 5¹ × 13¹ × 17¹ × 61¹ × 2¹ × 2593¹
LCM(67405,67418) = 349562330