What is the Least Common Multiple of 29568 and 29574?

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 29568 and 29574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29568 and 29574, than apply into the LCM equation.

GCF(29568,29574) = 6
LCM(29568,29574) = ( 29568 × 29574) / 6
LCM(29568,29574) = 874444032 / 6
LCM(29568,29574) = 145740672

Least Common Multiple (LCM) of 29568 and 29574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29568 and 29574. First we will calculate the prime factors of 29568 and 29574.

Prime Factorization of 29568

Prime Factorization of 29574

Now multiplying the highest exponent prime factors to calculate the LCM of 29568 and 29574.

LCM(29568,29574) = 2⁷ × 3² × 7¹ × 11¹ × 31¹ × 53¹
LCM(29568,29574) = 145740672