What is the Least Common Multiple of 29125 and 29142?

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 29125 and 29142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29125 and 29142, than apply into the LCM equation.

GCF(29125,29142) = 1
LCM(29125,29142) = ( 29125 × 29142) / 1
LCM(29125,29142) = 848760750 / 1
LCM(29125,29142) = 848760750

Least Common Multiple (LCM) of 29125 and 29142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29125 and 29142. First we will calculate the prime factors of 29125 and 29142.

Prime Factorization of 29125

Prime Factorization of 29142

Now multiplying the highest exponent prime factors to calculate the LCM of 29125 and 29142.

LCM(29125,29142) = 5³ × 233¹ × 2¹ × 3² × 1619¹
LCM(29125,29142) = 848760750