What is the Least Common Multiple of 67398 and 67412?

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 67398 and 67412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67398 and 67412, than apply into the LCM equation.

GCF(67398,67412) = 2
LCM(67398,67412) = ( 67398 × 67412) / 2
LCM(67398,67412) = 4543433976 / 2
LCM(67398,67412) = 2271716988

Least Common Multiple (LCM) of 67398 and 67412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67398 and 67412. First we will calculate the prime factors of 67398 and 67412.

Prime Factorization of 67398

Prime Factorization of 67412

Now multiplying the highest exponent prime factors to calculate the LCM of 67398 and 67412.

LCM(67398,67412) = 2² × 3¹ × 47¹ × 239¹ × 19¹ × 887¹
LCM(67398,67412) = 2271716988