What is the Least Common Multiple of 41375 and 41385?

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 41375 and 41385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41375 and 41385, than apply into the LCM equation.

GCF(41375,41385) = 5
LCM(41375,41385) = ( 41375 × 41385) / 5
LCM(41375,41385) = 1712304375 / 5
LCM(41375,41385) = 342460875

Least Common Multiple (LCM) of 41375 and 41385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41375 and 41385. First we will calculate the prime factors of 41375 and 41385.

Prime Factorization of 41375

Prime Factorization of 41385

Now multiplying the highest exponent prime factors to calculate the LCM of 41375 and 41385.

LCM(41375,41385) = 5³ × 331¹ × 3¹ × 31¹ × 89¹
LCM(41375,41385) = 342460875