What is the Least Common Multiple of 35835 and 35853?

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 35835 and 35853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35835 and 35853, than apply into the LCM equation.

GCF(35835,35853) = 3
LCM(35835,35853) = ( 35835 × 35853) / 3
LCM(35835,35853) = 1284792255 / 3
LCM(35835,35853) = 428264085

Least Common Multiple (LCM) of 35835 and 35853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35835 and 35853. First we will calculate the prime factors of 35835 and 35853.

Prime Factorization of 35835

Prime Factorization of 35853

Now multiplying the highest exponent prime factors to calculate the LCM of 35835 and 35853.

LCM(35835,35853) = 3¹ × 5¹ × 2389¹ × 17¹ × 19¹ × 37¹
LCM(35835,35853) = 428264085