What is the Least Common Multiple of 8344 and 8354?

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 8354 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 8354, than apply into the LCM equation.

GCF(8344,8354) = 2
LCM(8344,8354) = ( 8344 × 8354) / 2
LCM(8344,8354) = 69705776 / 2
LCM(8344,8354) = 34852888

Least Common Multiple (LCM) of 8344 and 8354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8344 and 8354. First we will calculate the prime factors of 8344 and 8354.

Prime Factorization of 8344

Prime Factorization of 8354

Now multiplying the highest exponent prime factors to calculate the LCM of 8344 and 8354.

LCM(8344,8354) = 2³ × 7¹ × 149¹ × 4177¹
LCM(8344,8354) = 34852888