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What is the Least Common Multiple of 18895 and 18907?

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 18895 and 18907 is 357247765.

LCM(18895,18907) = 357247765

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Least Common Multiple of 18895 and 18907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18895 and 18907, than apply into the LCM equation.

GCF(18895,18907) = 1
LCM(18895,18907) = ( 18895 × 18907) / 1
LCM(18895,18907) = 357247765 / 1
LCM(18895,18907) = 357247765

Least Common Multiple (LCM) of 18895 and 18907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18895 and 18907. First we will calculate the prime factors of 18895 and 18907.

Prime Factorization of 18895

Prime factors of 18895 are 5, 3779. Prime factorization of 18895 in exponential form is:

18895 = 51 × 37791

Prime Factorization of 18907

Prime factors of 18907 are 7, 37, 73. Prime factorization of 18907 in exponential form is:

18907 = 71 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 18895 and 18907.

LCM(18895,18907) = 51 × 37791 × 71 × 371 × 731
LCM(18895,18907) = 357247765