What is the Least Common Multiple of 20829 and 20843?

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 20829 and 20843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20829 and 20843, than apply into the LCM equation.

GCF(20829,20843) = 1
LCM(20829,20843) = ( 20829 × 20843) / 1
LCM(20829,20843) = 434138847 / 1
LCM(20829,20843) = 434138847

Least Common Multiple (LCM) of 20829 and 20843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20829 and 20843. First we will calculate the prime factors of 20829 and 20843.

Prime Factorization of 20829

Prime Factorization of 20843

Now multiplying the highest exponent prime factors to calculate the LCM of 20829 and 20843.

LCM(20829,20843) = 3¹ × 53¹ × 131¹ × 19¹ × 1097¹
LCM(20829,20843) = 434138847