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What is the Least Common Multiple of 18068 and 18076?

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 18068 and 18076 is 81649292.

LCM(18068,18076) = 81649292

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Least Common Multiple of 18068 and 18076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18068 and 18076, than apply into the LCM equation.

GCF(18068,18076) = 4
LCM(18068,18076) = ( 18068 × 18076) / 4
LCM(18068,18076) = 326597168 / 4
LCM(18068,18076) = 81649292

Least Common Multiple (LCM) of 18068 and 18076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18068 and 18076. First we will calculate the prime factors of 18068 and 18076.

Prime Factorization of 18068

Prime factors of 18068 are 2, 4517. Prime factorization of 18068 in exponential form is:

18068 = 22 × 45171

Prime Factorization of 18076

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

18076 = 22 × 45191

Now multiplying the highest exponent prime factors to calculate the LCM of 18068 and 18076.

LCM(18068,18076) = 22 × 45171 × 45191
LCM(18068,18076) = 81649292