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What is the Least Common Multiple of 93510 and 93524?

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 93510 and 93524 is 4372714620.

LCM(93510,93524) = 4372714620

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Least Common Multiple of 93510 and 93524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93510 and 93524, than apply into the LCM equation.

GCF(93510,93524) = 2
LCM(93510,93524) = ( 93510 × 93524) / 2
LCM(93510,93524) = 8745429240 / 2
LCM(93510,93524) = 4372714620

Least Common Multiple (LCM) of 93510 and 93524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93510 and 93524. First we will calculate the prime factors of 93510 and 93524.

Prime Factorization of 93510

Prime factors of 93510 are 2, 3, 5, 1039. Prime factorization of 93510 in exponential form is:

93510 = 21 × 32 × 51 × 10391

Prime Factorization of 93524

Prime factors of 93524 are 2, 103, 227. Prime factorization of 93524 in exponential form is:

93524 = 22 × 1031 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 93510 and 93524.

LCM(93510,93524) = 22 × 32 × 51 × 10391 × 1031 × 2271
LCM(93510,93524) = 4372714620