What is the Least Common Multiple of 8344 and 8355?

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 8344 and 8355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8344 and 8355, than apply into the LCM equation.

GCF(8344,8355) = 1
LCM(8344,8355) = ( 8344 × 8355) / 1
LCM(8344,8355) = 69714120 / 1
LCM(8344,8355) = 69714120

Least Common Multiple (LCM) of 8344 and 8355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8344 and 8355. First we will calculate the prime factors of 8344 and 8355.

Prime Factorization of 8344

Prime Factorization of 8355

Now multiplying the highest exponent prime factors to calculate the LCM of 8344 and 8355.

LCM(8344,8355) = 2³ × 7¹ × 149¹ × 3¹ × 5¹ × 557¹
LCM(8344,8355) = 69714120