What is the Least Common Multiple of 29824 and 29839?

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 29824 and 29839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29824 and 29839, than apply into the LCM equation.

GCF(29824,29839) = 1
LCM(29824,29839) = ( 29824 × 29839) / 1
LCM(29824,29839) = 889918336 / 1
LCM(29824,29839) = 889918336

Least Common Multiple (LCM) of 29824 and 29839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29824 and 29839. First we will calculate the prime factors of 29824 and 29839.

Prime Factorization of 29824

Prime Factorization of 29839

Now multiplying the highest exponent prime factors to calculate the LCM of 29824 and 29839.

LCM(29824,29839) = 2⁷ × 233¹ × 53¹ × 563¹
LCM(29824,29839) = 889918336