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What is the Least Common Multiple of 7527 and 7547?

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 7527 and 7547 is 56806269.

LCM(7527,7547) = 56806269

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Least Common Multiple of 7527 and 7547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7527 and 7547, than apply into the LCM equation.

GCF(7527,7547) = 1
LCM(7527,7547) = ( 7527 × 7547) / 1
LCM(7527,7547) = 56806269 / 1
LCM(7527,7547) = 56806269

Least Common Multiple (LCM) of 7527 and 7547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7527 and 7547. First we will calculate the prime factors of 7527 and 7547.

Prime Factorization of 7527

Prime factors of 7527 are 3, 13, 193. Prime factorization of 7527 in exponential form is:

7527 = 31 × 131 × 1931

Prime Factorization of 7547

Prime factors of 7547 are 7547. Prime factorization of 7547 in exponential form is:

7547 = 75471

Now multiplying the highest exponent prime factors to calculate the LCM of 7527 and 7547.

LCM(7527,7547) = 31 × 131 × 1931 × 75471
LCM(7527,7547) = 56806269