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What is the Least Common Multiple of 18985 and 18991?

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 18985 and 18991 is 360544135.

LCM(18985,18991) = 360544135

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Least Common Multiple of 18985 and 18991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18985 and 18991, than apply into the LCM equation.

GCF(18985,18991) = 1
LCM(18985,18991) = ( 18985 × 18991) / 1
LCM(18985,18991) = 360544135 / 1
LCM(18985,18991) = 360544135

Least Common Multiple (LCM) of 18985 and 18991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18985 and 18991. First we will calculate the prime factors of 18985 and 18991.

Prime Factorization of 18985

Prime factors of 18985 are 5, 3797. Prime factorization of 18985 in exponential form is:

18985 = 51 × 37971

Prime Factorization of 18991

Prime factors of 18991 are 7, 2713. Prime factorization of 18991 in exponential form is:

18991 = 71 × 27131

Now multiplying the highest exponent prime factors to calculate the LCM of 18985 and 18991.

LCM(18985,18991) = 51 × 37971 × 71 × 27131
LCM(18985,18991) = 360544135