What is the Least Common Multiple of 41075 and 41091?

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 41075 and 41091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41075 and 41091, than apply into the LCM equation.

GCF(41075,41091) = 1
LCM(41075,41091) = ( 41075 × 41091) / 1
LCM(41075,41091) = 1687812825 / 1
LCM(41075,41091) = 1687812825

Least Common Multiple (LCM) of 41075 and 41091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41075 and 41091. First we will calculate the prime factors of 41075 and 41091.

Prime Factorization of 41075

Prime Factorization of 41091

Now multiplying the highest exponent prime factors to calculate the LCM of 41075 and 41091.

LCM(41075,41091) = 5² × 31¹ × 53¹ × 3¹ × 13697¹
LCM(41075,41091) = 1687812825