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What is the Least Common Multiple of 18849 and 18859?

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 18849 and 18859 is 355473291.

LCM(18849,18859) = 355473291

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Least Common Multiple of 18849 and 18859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18849 and 18859, than apply into the LCM equation.

GCF(18849,18859) = 1
LCM(18849,18859) = ( 18849 × 18859) / 1
LCM(18849,18859) = 355473291 / 1
LCM(18849,18859) = 355473291

Least Common Multiple (LCM) of 18849 and 18859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18849 and 18859. First we will calculate the prime factors of 18849 and 18859.

Prime Factorization of 18849

Prime factors of 18849 are 3, 61, 103. Prime factorization of 18849 in exponential form is:

18849 = 31 × 611 × 1031

Prime Factorization of 18859

Prime factors of 18859 are 18859. Prime factorization of 18859 in exponential form is:

18859 = 188591

Now multiplying the highest exponent prime factors to calculate the LCM of 18849 and 18859.

LCM(18849,18859) = 31 × 611 × 1031 × 188591
LCM(18849,18859) = 355473291