What is the Least Common Multiple of 11824 and 11830?

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 11824 and 11830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11824 and 11830, than apply into the LCM equation.

GCF(11824,11830) = 2
LCM(11824,11830) = ( 11824 × 11830) / 2
LCM(11824,11830) = 139877920 / 2
LCM(11824,11830) = 69938960

Least Common Multiple (LCM) of 11824 and 11830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11824 and 11830. First we will calculate the prime factors of 11824 and 11830.

Prime Factorization of 11824

Prime Factorization of 11830

Now multiplying the highest exponent prime factors to calculate the LCM of 11824 and 11830.

LCM(11824,11830) = 2⁴ × 739¹ × 5¹ × 7¹ × 13²
LCM(11824,11830) = 69938960