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What is the Least Common Multiple of 18076 and 18086?

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 18076 and 18086 is 163461268.

LCM(18076,18086) = 163461268

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Least Common Multiple of 18076 and 18086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18076 and 18086, than apply into the LCM equation.

GCF(18076,18086) = 2
LCM(18076,18086) = ( 18076 × 18086) / 2
LCM(18076,18086) = 326922536 / 2
LCM(18076,18086) = 163461268

Least Common Multiple (LCM) of 18076 and 18086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18076 and 18086. First we will calculate the prime factors of 18076 and 18086.

Prime Factorization of 18076

Prime factors of 18076 are 2, 4519. Prime factorization of 18076 in exponential form is:

18076 = 22 × 45191

Prime Factorization of 18086

Prime factors of 18086 are 2, 9043. Prime factorization of 18086 in exponential form is:

18086 = 21 × 90431

Now multiplying the highest exponent prime factors to calculate the LCM of 18076 and 18086.

LCM(18076,18086) = 22 × 45191 × 90431
LCM(18076,18086) = 163461268