What is the Least Common Multiple of 29036 and 29052?

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 29036 and 29052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29036 and 29052, than apply into the LCM equation.

GCF(29036,29052) = 4
LCM(29036,29052) = ( 29036 × 29052) / 4
LCM(29036,29052) = 843553872 / 4
LCM(29036,29052) = 210888468

Least Common Multiple (LCM) of 29036 and 29052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29036 and 29052. First we will calculate the prime factors of 29036 and 29052.

Prime Factorization of 29036

Prime Factorization of 29052

Now multiplying the highest exponent prime factors to calculate the LCM of 29036 and 29052.

LCM(29036,29052) = 2² × 7¹ × 17¹ × 61¹ × 3³ × 269¹
LCM(29036,29052) = 210888468