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What is the Least Common Multiple of 7515 and 7529?

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 7515 and 7529 is 56580435.

LCM(7515,7529) = 56580435

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Least Common Multiple of 7515 and 7529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7515 and 7529, than apply into the LCM equation.

GCF(7515,7529) = 1
LCM(7515,7529) = ( 7515 × 7529) / 1
LCM(7515,7529) = 56580435 / 1
LCM(7515,7529) = 56580435

Least Common Multiple (LCM) of 7515 and 7529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7515 and 7529. First we will calculate the prime factors of 7515 and 7529.

Prime Factorization of 7515

Prime factors of 7515 are 3, 5, 167. Prime factorization of 7515 in exponential form is:

7515 = 32 × 51 × 1671

Prime Factorization of 7529

Prime factors of 7529 are 7529. Prime factorization of 7529 in exponential form is:

7529 = 75291

Now multiplying the highest exponent prime factors to calculate the LCM of 7515 and 7529.

LCM(7515,7529) = 32 × 51 × 1671 × 75291
LCM(7515,7529) = 56580435