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What is the Least Common Multiple of 27098 and 27116?

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 27098 and 27116 is 367394684.

LCM(27098,27116) = 367394684

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Least Common Multiple of 27098 and 27116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27098 and 27116, than apply into the LCM equation.

GCF(27098,27116) = 2
LCM(27098,27116) = ( 27098 × 27116) / 2
LCM(27098,27116) = 734789368 / 2
LCM(27098,27116) = 367394684

Least Common Multiple (LCM) of 27098 and 27116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27098 and 27116. First we will calculate the prime factors of 27098 and 27116.

Prime Factorization of 27098

Prime factors of 27098 are 2, 17, 797. Prime factorization of 27098 in exponential form is:

27098 = 21 × 171 × 7971

Prime Factorization of 27116

Prime factors of 27116 are 2, 6779. Prime factorization of 27116 in exponential form is:

27116 = 22 × 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 27098 and 27116.

LCM(27098,27116) = 22 × 171 × 7971 × 67791
LCM(27098,27116) = 367394684