What is the Least Common Multiple of 41125 and 41144?

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 41125 and 41144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41125 and 41144, than apply into the LCM equation.

GCF(41125,41144) = 1
LCM(41125,41144) = ( 41125 × 41144) / 1
LCM(41125,41144) = 1692047000 / 1
LCM(41125,41144) = 1692047000

Least Common Multiple (LCM) of 41125 and 41144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41125 and 41144. First we will calculate the prime factors of 41125 and 41144.

Prime Factorization of 41125

Prime Factorization of 41144

Now multiplying the highest exponent prime factors to calculate the LCM of 41125 and 41144.

LCM(41125,41144) = 5³ × 7¹ × 47¹ × 2³ × 37¹ × 139¹
LCM(41125,41144) = 1692047000