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What is the Least Common Multiple of 27290 and 27295?

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 27290 and 27295 is 148976110.

LCM(27290,27295) = 148976110

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Least Common Multiple of 27290 and 27295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27290 and 27295, than apply into the LCM equation.

GCF(27290,27295) = 5
LCM(27290,27295) = ( 27290 × 27295) / 5
LCM(27290,27295) = 744880550 / 5
LCM(27290,27295) = 148976110

Least Common Multiple (LCM) of 27290 and 27295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27290 and 27295. First we will calculate the prime factors of 27290 and 27295.

Prime Factorization of 27290

Prime factors of 27290 are 2, 5, 2729. Prime factorization of 27290 in exponential form is:

27290 = 21 × 51 × 27291

Prime Factorization of 27295

Prime factors of 27295 are 5, 53, 103. Prime factorization of 27295 in exponential form is:

27295 = 51 × 531 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 27290 and 27295.

LCM(27290,27295) = 21 × 51 × 27291 × 531 × 1031
LCM(27290,27295) = 148976110