What is the Least Common Multiple of 41120 and 41125?

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 41120 and 41125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41120 and 41125, than apply into the LCM equation.

GCF(41120,41125) = 5
LCM(41120,41125) = ( 41120 × 41125) / 5
LCM(41120,41125) = 1691060000 / 5
LCM(41120,41125) = 338212000

Least Common Multiple (LCM) of 41120 and 41125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41120 and 41125. First we will calculate the prime factors of 41120 and 41125.

Prime Factorization of 41120

Prime Factorization of 41125

Now multiplying the highest exponent prime factors to calculate the LCM of 41120 and 41125.

LCM(41120,41125) = 2⁵ × 5³ × 257¹ × 7¹ × 47¹
LCM(41120,41125) = 338212000