What is the Least Common Multiple of 53829 and 53845?

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 53829 and 53845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53829 and 53845, than apply into the LCM equation.

GCF(53829,53845) = 1
LCM(53829,53845) = ( 53829 × 53845) / 1
LCM(53829,53845) = 2898422505 / 1
LCM(53829,53845) = 2898422505

Least Common Multiple (LCM) of 53829 and 53845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53829 and 53845. First we will calculate the prime factors of 53829 and 53845.

Prime Factorization of 53829

Prime Factorization of 53845

Now multiplying the highest exponent prime factors to calculate the LCM of 53829 and 53845.

LCM(53829,53845) = 3² × 5981¹ × 5¹ × 11² × 89¹
LCM(53829,53845) = 2898422505