What is the Least Common Multiple of 8357 and 8377?

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 8357 and 8377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8357 and 8377, than apply into the LCM equation.

GCF(8357,8377) = 1
LCM(8357,8377) = ( 8357 × 8377) / 1
LCM(8357,8377) = 70006589 / 1
LCM(8357,8377) = 70006589

Least Common Multiple (LCM) of 8357 and 8377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8357 and 8377. First we will calculate the prime factors of 8357 and 8377.

Prime Factorization of 8357

Prime Factorization of 8377

Now multiplying the highest exponent prime factors to calculate the LCM of 8357 and 8377.

LCM(8357,8377) = 61¹ × 137¹ × 8377¹
LCM(8357,8377) = 70006589