What is the Least Common Multiple of 29075 and 29090?

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 29075 and 29090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29075 and 29090, than apply into the LCM equation.

GCF(29075,29090) = 5
LCM(29075,29090) = ( 29075 × 29090) / 5
LCM(29075,29090) = 845791750 / 5
LCM(29075,29090) = 169158350

Least Common Multiple (LCM) of 29075 and 29090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29075 and 29090. First we will calculate the prime factors of 29075 and 29090.

Prime Factorization of 29075

Prime Factorization of 29090

Now multiplying the highest exponent prime factors to calculate the LCM of 29075 and 29090.

LCM(29075,29090) = 5² × 1163¹ × 2¹ × 2909¹
LCM(29075,29090) = 169158350