What is the Least Common Multiple of 29448 and 29456?

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 29448 and 29456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29448 and 29456, than apply into the LCM equation.

GCF(29448,29456) = 8
LCM(29448,29456) = ( 29448 × 29456) / 8
LCM(29448,29456) = 867420288 / 8
LCM(29448,29456) = 108427536

Least Common Multiple (LCM) of 29448 and 29456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29448 and 29456. First we will calculate the prime factors of 29448 and 29456.

Prime Factorization of 29448

Prime Factorization of 29456

Now multiplying the highest exponent prime factors to calculate the LCM of 29448 and 29456.

LCM(29448,29456) = 2⁴ × 3² × 409¹ × 7¹ × 263¹
LCM(29448,29456) = 108427536