What is the Least Common Multiple of 41545 and 41563?

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 41545 and 41563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41545 and 41563, than apply into the LCM equation.

GCF(41545,41563) = 1
LCM(41545,41563) = ( 41545 × 41563) / 1
LCM(41545,41563) = 1726734835 / 1
LCM(41545,41563) = 1726734835

Least Common Multiple (LCM) of 41545 and 41563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41545 and 41563. First we will calculate the prime factors of 41545 and 41563.

Prime Factorization of 41545

Prime Factorization of 41563

Now multiplying the highest exponent prime factors to calculate the LCM of 41545 and 41563.

LCM(41545,41563) = 5¹ × 7¹ × 1187¹ × 89¹ × 467¹
LCM(41545,41563) = 1726734835