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What is the Least Common Multiple of 93522 and 93539?

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 93522 and 93539 is 8747954358.

LCM(93522,93539) = 8747954358

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Least Common Multiple of 93522 and 93539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93522 and 93539, than apply into the LCM equation.

GCF(93522,93539) = 1
LCM(93522,93539) = ( 93522 × 93539) / 1
LCM(93522,93539) = 8747954358 / 1
LCM(93522,93539) = 8747954358

Least Common Multiple (LCM) of 93522 and 93539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93522 and 93539. First we will calculate the prime factors of 93522 and 93539.

Prime Factorization of 93522

Prime factors of 93522 are 2, 3, 11, 13, 109. Prime factorization of 93522 in exponential form is:

93522 = 21 × 31 × 111 × 131 × 1091

Prime Factorization of 93539

Prime factors of 93539 are 89, 1051. Prime factorization of 93539 in exponential form is:

93539 = 891 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 93522 and 93539.

LCM(93522,93539) = 21 × 31 × 111 × 131 × 1091 × 891 × 10511
LCM(93522,93539) = 8747954358