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What is the Least Common Multiple of 93762 and 93774?

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 93762 and 93774 is 1465406298.

LCM(93762,93774) = 1465406298

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Least Common Multiple of 93762 and 93774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93762 and 93774, than apply into the LCM equation.

GCF(93762,93774) = 6
LCM(93762,93774) = ( 93762 × 93774) / 6
LCM(93762,93774) = 8792437788 / 6
LCM(93762,93774) = 1465406298

Least Common Multiple (LCM) of 93762 and 93774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93762 and 93774. First we will calculate the prime factors of 93762 and 93774.

Prime Factorization of 93762

Prime factors of 93762 are 2, 3, 5209. Prime factorization of 93762 in exponential form is:

93762 = 21 × 32 × 52091

Prime Factorization of 93774

Prime factors of 93774 are 2, 3, 15629. Prime factorization of 93774 in exponential form is:

93774 = 21 × 31 × 156291

Now multiplying the highest exponent prime factors to calculate the LCM of 93762 and 93774.

LCM(93762,93774) = 21 × 32 × 52091 × 156291
LCM(93762,93774) = 1465406298