What is the Least Common Multiple of 17840 and 17854?

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 17840 and 17854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17840 and 17854, than apply into the LCM equation.

GCF(17840,17854) = 2
LCM(17840,17854) = ( 17840 × 17854) / 2
LCM(17840,17854) = 318515360 / 2
LCM(17840,17854) = 159257680

Least Common Multiple (LCM) of 17840 and 17854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17840 and 17854. First we will calculate the prime factors of 17840 and 17854.

Prime Factorization of 17840

Prime Factorization of 17854

Now multiplying the highest exponent prime factors to calculate the LCM of 17840 and 17854.

LCM(17840,17854) = 2⁴ × 5¹ × 223¹ × 79¹ × 113¹
LCM(17840,17854) = 159257680