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What is the Least Common Multiple of 40531 and 40538?

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 (LCM) of 40531 and 40538 is 1643045678.

LCM(40531,40538) = 1643045678

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Least Common Multiple of 40531 and 40538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40531 and 40538, than apply into the LCM equation.

GCF(40531,40538) = 1
LCM(40531,40538) = ( 40531 × 40538) / 1
LCM(40531,40538) = 1643045678 / 1
LCM(40531,40538) = 1643045678

Least Common Multiple (LCM) of 40531 and 40538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40531 and 40538. First we will calculate the prime factors of 40531 and 40538.

Prime Factorization of 40531

Prime factors of 40531 are 40531. Prime factorization of 40531 in exponential form is:

40531 = 405311

Prime Factorization of 40538

Prime factors of 40538 are 2, 20269. Prime factorization of 40538 in exponential form is:

40538 = 21 × 202691

Now multiplying the highest exponent prime factors to calculate the LCM of 40531 and 40538.

LCM(40531,40538) = 405311 × 21 × 202691
LCM(40531,40538) = 1643045678