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What is the Least Common Multiple of 93534 and 93554?

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 93534 and 93554 is 4375239918.

LCM(93534,93554) = 4375239918

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Least Common Multiple of 93534 and 93554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93534 and 93554, than apply into the LCM equation.

GCF(93534,93554) = 2
LCM(93534,93554) = ( 93534 × 93554) / 2
LCM(93534,93554) = 8750479836 / 2
LCM(93534,93554) = 4375239918

Least Common Multiple (LCM) of 93534 and 93554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93534 and 93554. First we will calculate the prime factors of 93534 and 93554.

Prime Factorization of 93534

Prime factors of 93534 are 2, 3, 7, 17, 131. Prime factorization of 93534 in exponential form is:

93534 = 21 × 31 × 71 × 171 × 1311

Prime Factorization of 93554

Prime factors of 93554 are 2, 29, 1613. Prime factorization of 93554 in exponential form is:

93554 = 21 × 291 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 93534 and 93554.

LCM(93534,93554) = 21 × 31 × 71 × 171 × 1311 × 291 × 16131
LCM(93534,93554) = 4375239918