What is the Least Common Multiple of 29044 and 29063?

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 29044 and 29063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29044 and 29063, than apply into the LCM equation.

GCF(29044,29063) = 1
LCM(29044,29063) = ( 29044 × 29063) / 1
LCM(29044,29063) = 844105772 / 1
LCM(29044,29063) = 844105772

Least Common Multiple (LCM) of 29044 and 29063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29044 and 29063. First we will calculate the prime factors of 29044 and 29063.

Prime Factorization of 29044

Prime Factorization of 29063

Now multiplying the highest exponent prime factors to calculate the LCM of 29044 and 29063.

LCM(29044,29063) = 2² × 53¹ × 137¹ × 29063¹
LCM(29044,29063) = 844105772