What is the Least Common Multiple of 41565 and 41585?

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 41565 and 41585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41565 and 41585, than apply into the LCM equation.

GCF(41565,41585) = 5
LCM(41565,41585) = ( 41565 × 41585) / 5
LCM(41565,41585) = 1728480525 / 5
LCM(41565,41585) = 345696105

Least Common Multiple (LCM) of 41565 and 41585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41565 and 41585. First we will calculate the prime factors of 41565 and 41585.

Prime Factorization of 41565

Prime Factorization of 41585

Now multiplying the highest exponent prime factors to calculate the LCM of 41565 and 41585.

LCM(41565,41585) = 3¹ × 5¹ × 17¹ × 163¹ × 8317¹
LCM(41565,41585) = 345696105