What is the Least Common Multiple of 29070 and 29075?

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 29070 and 29075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29070 and 29075, than apply into the LCM equation.

GCF(29070,29075) = 5
LCM(29070,29075) = ( 29070 × 29075) / 5
LCM(29070,29075) = 845210250 / 5
LCM(29070,29075) = 169042050

Least Common Multiple (LCM) of 29070 and 29075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29070 and 29075. First we will calculate the prime factors of 29070 and 29075.

Prime Factorization of 29070

Prime Factorization of 29075

Now multiplying the highest exponent prime factors to calculate the LCM of 29070 and 29075.

LCM(29070,29075) = 2¹ × 3² × 5² × 17¹ × 19¹ × 1163¹
LCM(29070,29075) = 169042050