What is the Least Common Multiple of 35840 and 35855?

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 35840 and 35855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35840 and 35855, than apply into the LCM equation.

GCF(35840,35855) = 5
LCM(35840,35855) = ( 35840 × 35855) / 5
LCM(35840,35855) = 1285043200 / 5
LCM(35840,35855) = 257008640

Least Common Multiple (LCM) of 35840 and 35855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35840 and 35855. First we will calculate the prime factors of 35840 and 35855.

Prime Factorization of 35840

Prime Factorization of 35855

Now multiplying the highest exponent prime factors to calculate the LCM of 35840 and 35855.

LCM(35840,35855) = 2¹⁰ × 5¹ × 7¹ × 71¹ × 101¹
LCM(35840,35855) = 257008640