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What is the Least Common Multiple of 27098 and 27115?

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 27115 is 43221310.

LCM(27098,27115) = 43221310

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Least Common Multiple of 27098 and 27115 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 27115, than apply into the LCM equation.

GCF(27098,27115) = 17
LCM(27098,27115) = ( 27098 × 27115) / 17
LCM(27098,27115) = 734762270 / 17
LCM(27098,27115) = 43221310

Least Common Multiple (LCM) of 27098 and 27115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27098 and 27115. First we will calculate the prime factors of 27098 and 27115.

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 27115

Prime factors of 27115 are 5, 11, 17, 29. Prime factorization of 27115 in exponential form is:

27115 = 51 × 111 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 27098 and 27115.

LCM(27098,27115) = 21 × 171 × 7971 × 51 × 111 × 291
LCM(27098,27115) = 43221310