What is the Least Common Multiple of 29120 and 29125?

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 29120 and 29125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29120 and 29125, than apply into the LCM equation.

GCF(29120,29125) = 5
LCM(29120,29125) = ( 29120 × 29125) / 5
LCM(29120,29125) = 848120000 / 5
LCM(29120,29125) = 169624000

Least Common Multiple (LCM) of 29120 and 29125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29120 and 29125. First we will calculate the prime factors of 29120 and 29125.

Prime Factorization of 29120

Prime Factorization of 29125

Now multiplying the highest exponent prime factors to calculate the LCM of 29120 and 29125.

LCM(29120,29125) = 2⁶ × 5³ × 7¹ × 13¹ × 233¹
LCM(29120,29125) = 169624000