What is the Least Common Multiple of 20830 and 20846?

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 20830 and 20846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20830 and 20846, than apply into the LCM equation.

GCF(20830,20846) = 2
LCM(20830,20846) = ( 20830 × 20846) / 2
LCM(20830,20846) = 434222180 / 2
LCM(20830,20846) = 217111090

Least Common Multiple (LCM) of 20830 and 20846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20830 and 20846. First we will calculate the prime factors of 20830 and 20846.

Prime Factorization of 20830

Prime Factorization of 20846

Now multiplying the highest exponent prime factors to calculate the LCM of 20830 and 20846.

LCM(20830,20846) = 2¹ × 5¹ × 2083¹ × 7¹ × 1489¹
LCM(20830,20846) = 217111090