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What is the Least Common Multiple of 6520 and 6526?

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 6520 and 6526 is 21274760.

LCM(6520,6526) = 21274760

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Least Common Multiple of 6520 and 6526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6520 and 6526, than apply into the LCM equation.

GCF(6520,6526) = 2
LCM(6520,6526) = ( 6520 × 6526) / 2
LCM(6520,6526) = 42549520 / 2
LCM(6520,6526) = 21274760

Least Common Multiple (LCM) of 6520 and 6526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6520 and 6526. First we will calculate the prime factors of 6520 and 6526.

Prime Factorization of 6520

Prime factors of 6520 are 2, 5, 163. Prime factorization of 6520 in exponential form is:

6520 = 23 × 51 × 1631

Prime Factorization of 6526

Prime factors of 6526 are 2, 13, 251. Prime factorization of 6526 in exponential form is:

6526 = 21 × 131 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 6520 and 6526.

LCM(6520,6526) = 23 × 51 × 1631 × 131 × 2511
LCM(6520,6526) = 21274760