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What is the Least Common Multiple of 93513 and 93525?

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 93513 and 93525 is 2915267775.

LCM(93513,93525) = 2915267775

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Least Common Multiple of 93513 and 93525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93513 and 93525, than apply into the LCM equation.

GCF(93513,93525) = 3
LCM(93513,93525) = ( 93513 × 93525) / 3
LCM(93513,93525) = 8745803325 / 3
LCM(93513,93525) = 2915267775

Least Common Multiple (LCM) of 93513 and 93525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93513 and 93525. First we will calculate the prime factors of 93513 and 93525.

Prime Factorization of 93513

Prime factors of 93513 are 3, 7, 61, 73. Prime factorization of 93513 in exponential form is:

93513 = 31 × 71 × 611 × 731

Prime Factorization of 93525

Prime factors of 93525 are 3, 5, 29, 43. Prime factorization of 93525 in exponential form is:

93525 = 31 × 52 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 93513 and 93525.

LCM(93513,93525) = 31 × 71 × 611 × 731 × 52 × 291 × 431
LCM(93513,93525) = 2915267775