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What is the Least Common Multiple of 93724 and 93742?

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 93724 and 93742 is 4392937604.

LCM(93724,93742) = 4392937604

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Least Common Multiple of 93724 and 93742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93724 and 93742, than apply into the LCM equation.

GCF(93724,93742) = 2
LCM(93724,93742) = ( 93724 × 93742) / 2
LCM(93724,93742) = 8785875208 / 2
LCM(93724,93742) = 4392937604

Least Common Multiple (LCM) of 93724 and 93742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93724 and 93742. First we will calculate the prime factors of 93724 and 93742.

Prime Factorization of 93724

Prime factors of 93724 are 2, 23431. Prime factorization of 93724 in exponential form is:

93724 = 22 × 234311

Prime Factorization of 93742

Prime factors of 93742 are 2, 11, 4261. Prime factorization of 93742 in exponential form is:

93742 = 21 × 111 × 42611

Now multiplying the highest exponent prime factors to calculate the LCM of 93724 and 93742.

LCM(93724,93742) = 22 × 234311 × 111 × 42611
LCM(93724,93742) = 4392937604