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What is the Least Common Multiple of 93269 and 93288?

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 93269 and 93288 is 8700878472.

LCM(93269,93288) = 8700878472

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Least Common Multiple of 93269 and 93288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93269 and 93288, than apply into the LCM equation.

GCF(93269,93288) = 1
LCM(93269,93288) = ( 93269 × 93288) / 1
LCM(93269,93288) = 8700878472 / 1
LCM(93269,93288) = 8700878472

Least Common Multiple (LCM) of 93269 and 93288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93269 and 93288. First we will calculate the prime factors of 93269 and 93288.

Prime Factorization of 93269

Prime factors of 93269 are 11, 61, 139. Prime factorization of 93269 in exponential form is:

93269 = 111 × 611 × 1391

Prime Factorization of 93288

Prime factors of 93288 are 2, 3, 13, 23. Prime factorization of 93288 in exponential form is:

93288 = 23 × 31 × 132 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 93269 and 93288.

LCM(93269,93288) = 111 × 611 × 1391 × 23 × 31 × 132 × 231
LCM(93269,93288) = 8700878472