What is the Least Common Multiple of 67396 and 67406?

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 67396 and 67406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67396 and 67406, than apply into the LCM equation.

GCF(67396,67406) = 2
LCM(67396,67406) = ( 67396 × 67406) / 2
LCM(67396,67406) = 4542894776 / 2
LCM(67396,67406) = 2271447388

Least Common Multiple (LCM) of 67396 and 67406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67396 and 67406. First we will calculate the prime factors of 67396 and 67406.

Prime Factorization of 67396

Prime Factorization of 67406

Now multiplying the highest exponent prime factors to calculate the LCM of 67396 and 67406.

LCM(67396,67406) = 2² × 7¹ × 29¹ × 83¹ × 33703¹
LCM(67396,67406) = 2271447388