What is the Least Common Multiple of 40538 and 40543?

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 40538 and 40543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40538 and 40543, than apply into the LCM equation.

GCF(40538,40543) = 1
LCM(40538,40543) = ( 40538 × 40543) / 1
LCM(40538,40543) = 1643532134 / 1
LCM(40538,40543) = 1643532134

Least Common Multiple (LCM) of 40538 and 40543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40538 and 40543. First we will calculate the prime factors of 40538 and 40543.

Prime Factorization of 40538

Prime Factorization of 40543

Now multiplying the highest exponent prime factors to calculate the LCM of 40538 and 40543.

LCM(40538,40543) = 2¹ × 20269¹ × 40543¹
LCM(40538,40543) = 1643532134