What is the Least Common Multiple of 29406 and 29424?

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 29406 and 29424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29406 and 29424, than apply into the LCM equation.

GCF(29406,29424) = 6
LCM(29406,29424) = ( 29406 × 29424) / 6
LCM(29406,29424) = 865242144 / 6
LCM(29406,29424) = 144207024

Least Common Multiple (LCM) of 29406 and 29424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29406 and 29424. First we will calculate the prime factors of 29406 and 29424.

Prime Factorization of 29406

Prime Factorization of 29424

Now multiplying the highest exponent prime factors to calculate the LCM of 29406 and 29424.

LCM(29406,29424) = 2⁴ × 3¹ × 13² × 29¹ × 613¹
LCM(29406,29424) = 144207024