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What is the Least Common Multiple of 18722 and 18730?

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 18722 and 18730 is 175331530.

LCM(18722,18730) = 175331530

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Least Common Multiple of 18722 and 18730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18722 and 18730, than apply into the LCM equation.

GCF(18722,18730) = 2
LCM(18722,18730) = ( 18722 × 18730) / 2
LCM(18722,18730) = 350663060 / 2
LCM(18722,18730) = 175331530

Least Common Multiple (LCM) of 18722 and 18730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18722 and 18730. First we will calculate the prime factors of 18722 and 18730.

Prime Factorization of 18722

Prime factors of 18722 are 2, 11, 23, 37. Prime factorization of 18722 in exponential form is:

18722 = 21 × 111 × 231 × 371

Prime Factorization of 18730

Prime factors of 18730 are 2, 5, 1873. Prime factorization of 18730 in exponential form is:

18730 = 21 × 51 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 18722 and 18730.

LCM(18722,18730) = 21 × 111 × 231 × 371 × 51 × 18731
LCM(18722,18730) = 175331530