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What is the Least Common Multiple of 6541 and 6546?

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 6541 and 6546 is 42817386.

LCM(6541,6546) = 42817386

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Least Common Multiple of 6541 and 6546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6541 and 6546, than apply into the LCM equation.

GCF(6541,6546) = 1
LCM(6541,6546) = ( 6541 × 6546) / 1
LCM(6541,6546) = 42817386 / 1
LCM(6541,6546) = 42817386

Least Common Multiple (LCM) of 6541 and 6546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6541 and 6546. First we will calculate the prime factors of 6541 and 6546.

Prime Factorization of 6541

Prime factors of 6541 are 31, 211. Prime factorization of 6541 in exponential form is:

6541 = 311 × 2111

Prime Factorization of 6546

Prime factors of 6546 are 2, 3, 1091. Prime factorization of 6546 in exponential form is:

6546 = 21 × 31 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 6541 and 6546.

LCM(6541,6546) = 311 × 2111 × 21 × 31 × 10911
LCM(6541,6546) = 42817386