What is the Least Common Multiple of 67417 and 67433?

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 67417 and 67433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67417 and 67433, than apply into the LCM equation.

GCF(67417,67433) = 1
LCM(67417,67433) = ( 67417 × 67433) / 1
LCM(67417,67433) = 4546130561 / 1
LCM(67417,67433) = 4546130561

Least Common Multiple (LCM) of 67417 and 67433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67417 and 67433. First we will calculate the prime factors of 67417 and 67433.

Prime Factorization of 67417

Prime Factorization of 67433

Now multiplying the highest exponent prime factors to calculate the LCM of 67417 and 67433.

LCM(67417,67433) = 7¹ × 9631¹ × 67433¹
LCM(67417,67433) = 4546130561