What is the Least Common Multiple of 17840 and 17850?

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 17850 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 17850, than apply into the LCM equation.

GCF(17840,17850) = 10
LCM(17840,17850) = ( 17840 × 17850) / 10
LCM(17840,17850) = 318444000 / 10
LCM(17840,17850) = 31844400

Least Common Multiple (LCM) of 17840 and 17850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17840 and 17850. First we will calculate the prime factors of 17840 and 17850.

Prime Factorization of 17840

Prime Factorization of 17850

Now multiplying the highest exponent prime factors to calculate the LCM of 17840 and 17850.

LCM(17840,17850) = 2⁴ × 5² × 223¹ × 3¹ × 7¹ × 17¹
LCM(17840,17850) = 31844400