What is the Least Common Multiple of 8340 and 8357?

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 8340 and 8357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8340 and 8357, than apply into the LCM equation.

GCF(8340,8357) = 1
LCM(8340,8357) = ( 8340 × 8357) / 1
LCM(8340,8357) = 69697380 / 1
LCM(8340,8357) = 69697380

Least Common Multiple (LCM) of 8340 and 8357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8340 and 8357. First we will calculate the prime factors of 8340 and 8357.

Prime Factorization of 8340

Prime Factorization of 8357

Now multiplying the highest exponent prime factors to calculate the LCM of 8340 and 8357.

LCM(8340,8357) = 2² × 3¹ × 5¹ × 139¹ × 61¹ × 137¹
LCM(8340,8357) = 69697380