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What is the Least Common Multiple of 18792 and 18802?

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 18792 and 18802 is 176663592.

LCM(18792,18802) = 176663592

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Least Common Multiple of 18792 and 18802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18792 and 18802, than apply into the LCM equation.

GCF(18792,18802) = 2
LCM(18792,18802) = ( 18792 × 18802) / 2
LCM(18792,18802) = 353327184 / 2
LCM(18792,18802) = 176663592

Least Common Multiple (LCM) of 18792 and 18802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18792 and 18802. First we will calculate the prime factors of 18792 and 18802.

Prime Factorization of 18792

Prime factors of 18792 are 2, 3, 29. Prime factorization of 18792 in exponential form is:

18792 = 23 × 34 × 291

Prime Factorization of 18802

Prime factors of 18802 are 2, 7, 17, 79. Prime factorization of 18802 in exponential form is:

18802 = 21 × 71 × 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 18792 and 18802.

LCM(18792,18802) = 23 × 34 × 291 × 71 × 171 × 791
LCM(18792,18802) = 176663592