What is the Least Common Multiple of 41538 and 41543?

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 41538 and 41543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41538 and 41543, than apply into the LCM equation.

GCF(41538,41543) = 1
LCM(41538,41543) = ( 41538 × 41543) / 1
LCM(41538,41543) = 1725613134 / 1
LCM(41538,41543) = 1725613134

Least Common Multiple (LCM) of 41538 and 41543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41538 and 41543. First we will calculate the prime factors of 41538 and 41543.

Prime Factorization of 41538

Prime Factorization of 41543

Now multiplying the highest exponent prime factors to calculate the LCM of 41538 and 41543.

LCM(41538,41543) = 2¹ × 3¹ × 7¹ × 23¹ × 43¹ × 41543¹
LCM(41538,41543) = 1725613134