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What is the Least Common Multiple of 6524 and 6532?

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 6524 and 6532 is 10653692.

LCM(6524,6532) = 10653692

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Least Common Multiple of 6524 and 6532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6524 and 6532, than apply into the LCM equation.

GCF(6524,6532) = 4
LCM(6524,6532) = ( 6524 × 6532) / 4
LCM(6524,6532) = 42614768 / 4
LCM(6524,6532) = 10653692

Least Common Multiple (LCM) of 6524 and 6532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6532. First we will calculate the prime factors of 6524 and 6532.

Prime Factorization of 6524

Prime factors of 6524 are 2, 7, 233. Prime factorization of 6524 in exponential form is:

6524 = 22 × 71 × 2331

Prime Factorization of 6532

Prime factors of 6532 are 2, 23, 71. Prime factorization of 6532 in exponential form is:

6532 = 22 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 6524 and 6532.

LCM(6524,6532) = 22 × 71 × 2331 × 231 × 711
LCM(6524,6532) = 10653692