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What is the Least Common Multiple of 93523 and 93532?

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 93523 and 93532 is 8747393236.

LCM(93523,93532) = 8747393236

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Least Common Multiple of 93523 and 93532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93523 and 93532, than apply into the LCM equation.

GCF(93523,93532) = 1
LCM(93523,93532) = ( 93523 × 93532) / 1
LCM(93523,93532) = 8747393236 / 1
LCM(93523,93532) = 8747393236

Least Common Multiple (LCM) of 93523 and 93532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93523 and 93532. First we will calculate the prime factors of 93523 and 93532.

Prime Factorization of 93523

Prime factors of 93523 are 93523. Prime factorization of 93523 in exponential form is:

93523 = 935231

Prime Factorization of 93532

Prime factors of 93532 are 2, 67, 349. Prime factorization of 93532 in exponential form is:

93532 = 22 × 671 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 93523 and 93532.

LCM(93523,93532) = 935231 × 22 × 671 × 3491
LCM(93523,93532) = 8747393236