What is the Least Common Multiple of 11830 and 11844?

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 11844 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 11844, than apply into the LCM equation.

GCF(11830,11844) = 14
LCM(11830,11844) = ( 11830 × 11844) / 14
LCM(11830,11844) = 140114520 / 14
LCM(11830,11844) = 10008180

Least Common Multiple (LCM) of 11830 and 11844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11830 and 11844. First we will calculate the prime factors of 11830 and 11844.

Prime Factorization of 11830

Prime Factorization of 11844

Now multiplying the highest exponent prime factors to calculate the LCM of 11830 and 11844.

LCM(11830,11844) = 2² × 5¹ × 7¹ × 13² × 3² × 47¹
LCM(11830,11844) = 10008180