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What is the Least Common Multiple of 93834 and 93853?

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 93834 and 93853 is 8806602402.

LCM(93834,93853) = 8806602402

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Least Common Multiple of 93834 and 93853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93834 and 93853, than apply into the LCM equation.

GCF(93834,93853) = 1
LCM(93834,93853) = ( 93834 × 93853) / 1
LCM(93834,93853) = 8806602402 / 1
LCM(93834,93853) = 8806602402

Least Common Multiple (LCM) of 93834 and 93853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93834 and 93853. First we will calculate the prime factors of 93834 and 93853.

Prime Factorization of 93834

Prime factors of 93834 are 2, 3, 13, 401. Prime factorization of 93834 in exponential form is:

93834 = 21 × 32 × 131 × 4011

Prime Factorization of 93853

Prime factors of 93853 are 127, 739. Prime factorization of 93853 in exponential form is:

93853 = 1271 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 93834 and 93853.

LCM(93834,93853) = 21 × 32 × 131 × 4011 × 1271 × 7391
LCM(93834,93853) = 8806602402