What is the Least Common Multiple of 67894 and 67906?

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 67894 and 67906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67894 and 67906, than apply into the LCM equation.

GCF(67894,67906) = 2
LCM(67894,67906) = ( 67894 × 67906) / 2
LCM(67894,67906) = 4610409964 / 2
LCM(67894,67906) = 2305204982

Least Common Multiple (LCM) of 67894 and 67906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67894 and 67906. First we will calculate the prime factors of 67894 and 67906.

Prime Factorization of 67894

Prime Factorization of 67906

Now multiplying the highest exponent prime factors to calculate the LCM of 67894 and 67906.

LCM(67894,67906) = 2¹ × 83¹ × 409¹ × 19¹ × 1787¹
LCM(67894,67906) = 2305204982