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What is the Least Common Multiple of 41537 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 (LCM) of 41537 and 41543 is 1725571591.

LCM(41537,41543) = 1725571591

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Least Common Multiple of 41537 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 41537 and 41543, than apply into the LCM equation.

GCF(41537,41543) = 1
LCM(41537,41543) = ( 41537 × 41543) / 1
LCM(41537,41543) = 1725571591 / 1
LCM(41537,41543) = 1725571591

Least Common Multiple (LCM) of 41537 and 41543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41537 and 41543. First we will calculate the prime factors of 41537 and 41543.

Prime Factorization of 41537

Prime factors of 41537 are 73, 569. Prime factorization of 41537 in exponential form is:

41537 = 731 × 5691

Prime Factorization of 41543

Prime factors of 41543 are 41543. Prime factorization of 41543 in exponential form is:

41543 = 415431

Now multiplying the highest exponent prime factors to calculate the LCM of 41537 and 41543.

LCM(41537,41543) = 731 × 5691 × 415431
LCM(41537,41543) = 1725571591