What is the Least Common Multiple of 14820 and 14839?

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 14820 and 14839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14820 and 14839, than apply into the LCM equation.

GCF(14820,14839) = 19
LCM(14820,14839) = ( 14820 × 14839) / 19
LCM(14820,14839) = 219913980 / 19
LCM(14820,14839) = 11574420

Least Common Multiple (LCM) of 14820 and 14839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14820 and 14839. First we will calculate the prime factors of 14820 and 14839.

Prime Factorization of 14820

Prime Factorization of 14839

Now multiplying the highest exponent prime factors to calculate the LCM of 14820 and 14839.

LCM(14820,14839) = 2² × 3¹ × 5¹ × 13¹ × 19¹ × 11¹ × 71¹
LCM(14820,14839) = 11574420