What is the Least Common Multiple of 67381 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 67381 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 67381 and 67397, than apply into the LCM equation.

GCF(67381,67397) = 1
LCM(67381,67397) = ( 67381 × 67397) / 1
LCM(67381,67397) = 4541277257 / 1
LCM(67381,67397) = 4541277257

Least Common Multiple (LCM) of 67381 and 67397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67381 and 67397. First we will calculate the prime factors of 67381 and 67397.

Prime Factorization of 67381

Prime Factorization of 67397

Now multiplying the highest exponent prime factors to calculate the LCM of 67381 and 67397.

LCM(67381,67397) = 43¹ × 1567¹ × 11² × 557¹
LCM(67381,67397) = 4541277257