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What is the Least Common Multiple of 6516 and 6523?

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 6516 and 6523 is 42503868.

LCM(6516,6523) = 42503868

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Least Common Multiple of 6516 and 6523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6516 and 6523, than apply into the LCM equation.

GCF(6516,6523) = 1
LCM(6516,6523) = ( 6516 × 6523) / 1
LCM(6516,6523) = 42503868 / 1
LCM(6516,6523) = 42503868

Least Common Multiple (LCM) of 6516 and 6523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6516 and 6523. First we will calculate the prime factors of 6516 and 6523.

Prime Factorization of 6516

Prime factors of 6516 are 2, 3, 181. Prime factorization of 6516 in exponential form is:

6516 = 22 × 32 × 1811

Prime Factorization of 6523

Prime factors of 6523 are 11, 593. Prime factorization of 6523 in exponential form is:

6523 = 111 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 6516 and 6523.

LCM(6516,6523) = 22 × 32 × 1811 × 111 × 5931
LCM(6516,6523) = 42503868