What is the Least Common Multiple of 29714 and 29728?

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 29714 and 29728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29714 and 29728, than apply into the LCM equation.

GCF(29714,29728) = 2
LCM(29714,29728) = ( 29714 × 29728) / 2
LCM(29714,29728) = 883337792 / 2
LCM(29714,29728) = 441668896

Least Common Multiple (LCM) of 29714 and 29728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29714 and 29728. First we will calculate the prime factors of 29714 and 29728.

Prime Factorization of 29714

Prime Factorization of 29728

Now multiplying the highest exponent prime factors to calculate the LCM of 29714 and 29728.

LCM(29714,29728) = 2⁵ × 83¹ × 179¹ × 929¹
LCM(29714,29728) = 441668896