What is the Least Common Multiple of 67386 and 67397?

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 67386 and 67397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67386 and 67397, than apply into the LCM equation.

GCF(67386,67397) = 11
LCM(67386,67397) = ( 67386 × 67397) / 11
LCM(67386,67397) = 4541614242 / 11
LCM(67386,67397) = 412874022

Least Common Multiple (LCM) of 67386 and 67397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67386 and 67397. First we will calculate the prime factors of 67386 and 67397.

Prime Factorization of 67386

Prime Factorization of 67397

Now multiplying the highest exponent prime factors to calculate the LCM of 67386 and 67397.

LCM(67386,67397) = 2¹ × 3¹ × 11² × 1021¹ × 557¹
LCM(67386,67397) = 412874022