What is the Least Common Multiple of 35784 and 35793?

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 35784 and 35793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35784 and 35793, than apply into the LCM equation.

GCF(35784,35793) = 9
LCM(35784,35793) = ( 35784 × 35793) / 9
LCM(35784,35793) = 1280816712 / 9
LCM(35784,35793) = 142312968

Least Common Multiple (LCM) of 35784 and 35793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35784 and 35793. First we will calculate the prime factors of 35784 and 35793.

Prime Factorization of 35784

Prime Factorization of 35793

Now multiplying the highest exponent prime factors to calculate the LCM of 35784 and 35793.

LCM(35784,35793) = 2³ × 3² × 7¹ × 71¹ × 41¹ × 97¹
LCM(35784,35793) = 142312968