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What is the Least Common Multiple of 3534 and 3547?

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 3534 and 3547 is 12535098.

LCM(3534,3547) = 12535098

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Least Common Multiple of 3534 and 3547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3534 and 3547, than apply into the LCM equation.

GCF(3534,3547) = 1
LCM(3534,3547) = ( 3534 × 3547) / 1
LCM(3534,3547) = 12535098 / 1
LCM(3534,3547) = 12535098

Least Common Multiple (LCM) of 3534 and 3547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3534 and 3547. First we will calculate the prime factors of 3534 and 3547.

Prime Factorization of 3534

Prime factors of 3534 are 2, 3, 19, 31. Prime factorization of 3534 in exponential form is:

3534 = 21 × 31 × 191 × 311

Prime Factorization of 3547

Prime factors of 3547 are 3547. Prime factorization of 3547 in exponential form is:

3547 = 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 3534 and 3547.

LCM(3534,3547) = 21 × 31 × 191 × 311 × 35471
LCM(3534,3547) = 12535098