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What is the Least Common Multiple of 8541 and 8546?

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 8541 and 8546 is 72991386.

LCM(8541,8546) = 72991386

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Least Common Multiple of 8541 and 8546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8541 and 8546, than apply into the LCM equation.

GCF(8541,8546) = 1
LCM(8541,8546) = ( 8541 × 8546) / 1
LCM(8541,8546) = 72991386 / 1
LCM(8541,8546) = 72991386

Least Common Multiple (LCM) of 8541 and 8546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8541 and 8546. First we will calculate the prime factors of 8541 and 8546.

Prime Factorization of 8541

Prime factors of 8541 are 3, 13, 73. Prime factorization of 8541 in exponential form is:

8541 = 32 × 131 × 731

Prime Factorization of 8546

Prime factors of 8546 are 2, 4273. Prime factorization of 8546 in exponential form is:

8546 = 21 × 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 8541 and 8546.

LCM(8541,8546) = 32 × 131 × 731 × 21 × 42731
LCM(8541,8546) = 72991386