What is the Least Common Multiple of 29824 and 29842?

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 29842 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 29842, than apply into the LCM equation.

GCF(29824,29842) = 2
LCM(29824,29842) = ( 29824 × 29842) / 2
LCM(29824,29842) = 890007808 / 2
LCM(29824,29842) = 445003904

Least Common Multiple (LCM) of 29824 and 29842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29824 and 29842. First we will calculate the prime factors of 29824 and 29842.

Prime Factorization of 29824

Prime Factorization of 29842

Now multiplying the highest exponent prime factors to calculate the LCM of 29824 and 29842.

LCM(29824,29842) = 2⁷ × 233¹ × 43¹ × 347¹
LCM(29824,29842) = 445003904