What is the Least Common Multiple of 35840 and 35849?

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 35849 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 35849, than apply into the LCM equation.

GCF(35840,35849) = 1
LCM(35840,35849) = ( 35840 × 35849) / 1
LCM(35840,35849) = 1284828160 / 1
LCM(35840,35849) = 1284828160

Least Common Multiple (LCM) of 35840 and 35849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35840 and 35849. First we will calculate the prime factors of 35840 and 35849.

Prime Factorization of 35840

Prime Factorization of 35849

Now multiplying the highest exponent prime factors to calculate the LCM of 35840 and 35849.

LCM(35840,35849) = 2¹⁰ × 5¹ × 7¹ × 11¹ × 3259¹
LCM(35840,35849) = 1284828160