What is the Least Common Multiple of 5835 and 5853?

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 5835 and 5853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5835 and 5853, than apply into the LCM equation.

GCF(5835,5853) = 3
LCM(5835,5853) = ( 5835 × 5853) / 3
LCM(5835,5853) = 34152255 / 3
LCM(5835,5853) = 11384085

Least Common Multiple (LCM) of 5835 and 5853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5835 and 5853. First we will calculate the prime factors of 5835 and 5853.

Prime Factorization of 5835

Prime Factorization of 5853

Now multiplying the highest exponent prime factors to calculate the LCM of 5835 and 5853.

LCM(5835,5853) = 3¹ × 5¹ × 389¹ × 1951¹
LCM(5835,5853) = 11384085