What is the Least Common Multiple of 67595 and 67606?

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 67595 and 67606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67595 and 67606, than apply into the LCM equation.

GCF(67595,67606) = 11
LCM(67595,67606) = ( 67595 × 67606) / 11
LCM(67595,67606) = 4569827570 / 11
LCM(67595,67606) = 415438870

Least Common Multiple (LCM) of 67595 and 67606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67595 and 67606. First we will calculate the prime factors of 67595 and 67606.

Prime Factorization of 67595

Prime Factorization of 67606

Now multiplying the highest exponent prime factors to calculate the LCM of 67595 and 67606.

LCM(67595,67606) = 5¹ × 11¹ × 1229¹ × 2¹ × 7¹ × 439¹
LCM(67595,67606) = 415438870