What is the Least Common Multiple of 11830 and 11845?

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 11830 and 11845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11830 and 11845, than apply into the LCM equation.

GCF(11830,11845) = 5
LCM(11830,11845) = ( 11830 × 11845) / 5
LCM(11830,11845) = 140126350 / 5
LCM(11830,11845) = 28025270

Least Common Multiple (LCM) of 11830 and 11845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11830 and 11845. First we will calculate the prime factors of 11830 and 11845.

Prime Factorization of 11830

Prime Factorization of 11845

Now multiplying the highest exponent prime factors to calculate the LCM of 11830 and 11845.

LCM(11830,11845) = 2¹ × 5¹ × 7¹ × 13² × 23¹ × 103¹
LCM(11830,11845) = 28025270