What is the Least Common Multiple of 20835 and 20844?

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 20835 and 20844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20835 and 20844, than apply into the LCM equation.

GCF(20835,20844) = 9
LCM(20835,20844) = ( 20835 × 20844) / 9
LCM(20835,20844) = 434284740 / 9
LCM(20835,20844) = 48253860

Least Common Multiple (LCM) of 20835 and 20844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20835 and 20844. First we will calculate the prime factors of 20835 and 20844.

Prime Factorization of 20835

Prime Factorization of 20844

Now multiplying the highest exponent prime factors to calculate the LCM of 20835 and 20844.

LCM(20835,20844) = 3³ × 5¹ × 463¹ × 2² × 193¹
LCM(20835,20844) = 48253860