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What is the Least Common Multiple of 18783 and 18801?

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 18783 and 18801 is 39237687.

LCM(18783,18801) = 39237687

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Least Common Multiple of 18783 and 18801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18783 and 18801, than apply into the LCM equation.

GCF(18783,18801) = 9
LCM(18783,18801) = ( 18783 × 18801) / 9
LCM(18783,18801) = 353139183 / 9
LCM(18783,18801) = 39237687

Least Common Multiple (LCM) of 18783 and 18801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18783 and 18801. First we will calculate the prime factors of 18783 and 18801.

Prime Factorization of 18783

Prime factors of 18783 are 3, 2087. Prime factorization of 18783 in exponential form is:

18783 = 32 × 20871

Prime Factorization of 18801

Prime factors of 18801 are 3, 2089. Prime factorization of 18801 in exponential form is:

18801 = 32 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 18783 and 18801.

LCM(18783,18801) = 32 × 20871 × 20891
LCM(18783,18801) = 39237687