What is the Least Common Multiple of 67375 and 67381?

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 67375 and 67381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67375 and 67381, than apply into the LCM equation.

GCF(67375,67381) = 1
LCM(67375,67381) = ( 67375 × 67381) / 1
LCM(67375,67381) = 4539794875 / 1
LCM(67375,67381) = 4539794875

Least Common Multiple (LCM) of 67375 and 67381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67375 and 67381. First we will calculate the prime factors of 67375 and 67381.

Prime Factorization of 67375

Prime Factorization of 67381

Now multiplying the highest exponent prime factors to calculate the LCM of 67375 and 67381.

LCM(67375,67381) = 5³ × 7² × 11¹ × 43¹ × 1567¹
LCM(67375,67381) = 4539794875