What is the Least Common Multiple of 67407 and 67423?

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 67407 and 67423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67407 and 67423, than apply into the LCM equation.

GCF(67407,67423) = 1
LCM(67407,67423) = ( 67407 × 67423) / 1
LCM(67407,67423) = 4544782161 / 1
LCM(67407,67423) = 4544782161

Least Common Multiple (LCM) of 67407 and 67423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67407 and 67423. First we will calculate the prime factors of 67407 and 67423.

Prime Factorization of 67407

Prime Factorization of 67423

Now multiplying the highest exponent prime factors to calculate the LCM of 67407 and 67423.

LCM(67407,67423) = 3¹ × 22469¹ × 191¹ × 353¹
LCM(67407,67423) = 4544782161