What is the Least Common Multiple of 29568 and 29576?

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 29576 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 29576, than apply into the LCM equation.

GCF(29568,29576) = 8
LCM(29568,29576) = ( 29568 × 29576) / 8
LCM(29568,29576) = 874503168 / 8
LCM(29568,29576) = 109312896

Least Common Multiple (LCM) of 29568 and 29576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29568 and 29576. First we will calculate the prime factors of 29568 and 29576.

Prime Factorization of 29568

Prime Factorization of 29576

Now multiplying the highest exponent prime factors to calculate the LCM of 29568 and 29576.

LCM(29568,29576) = 2⁷ × 3¹ × 7¹ × 11¹ × 3697¹
LCM(29568,29576) = 109312896