What is the Least Common Multiple of 89377 and 89383?

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 89377 and 89383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89377 and 89383, than apply into the LCM equation.

GCF(89377,89383) = 1
LCM(89377,89383) = ( 89377 × 89383) / 1
LCM(89377,89383) = 7988784391 / 1
LCM(89377,89383) = 7988784391

Least Common Multiple (LCM) of 89377 and 89383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89377 and 89383. First we will calculate the prime factors of 89377 and 89383.

Prime Factorization of 89377

Prime Factorization of 89383

Now multiplying the highest exponent prime factors to calculate the LCM of 89377 and 89383.

LCM(89377,89383) = 139¹ × 643¹ × 7¹ × 113²
LCM(89377,89383) = 7988784391