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What is the Least Common Multiple of 6549 and 6556?

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 6549 and 6556 is 42935244.

LCM(6549,6556) = 42935244

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Least Common Multiple of 6549 and 6556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6549 and 6556, than apply into the LCM equation.

GCF(6549,6556) = 1
LCM(6549,6556) = ( 6549 × 6556) / 1
LCM(6549,6556) = 42935244 / 1
LCM(6549,6556) = 42935244

Least Common Multiple (LCM) of 6549 and 6556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6549 and 6556. First we will calculate the prime factors of 6549 and 6556.

Prime Factorization of 6549

Prime factors of 6549 are 3, 37, 59. Prime factorization of 6549 in exponential form is:

6549 = 31 × 371 × 591

Prime Factorization of 6556

Prime factors of 6556 are 2, 11, 149. Prime factorization of 6556 in exponential form is:

6556 = 22 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6549 and 6556.

LCM(6549,6556) = 31 × 371 × 591 × 22 × 111 × 1491
LCM(6549,6556) = 42935244