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What is the Least Common Multiple of 27085 and 27105?

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 27085 and 27105 is 146827785.

LCM(27085,27105) = 146827785

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Least Common Multiple of 27085 and 27105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27085 and 27105, than apply into the LCM equation.

GCF(27085,27105) = 5
LCM(27085,27105) = ( 27085 × 27105) / 5
LCM(27085,27105) = 734138925 / 5
LCM(27085,27105) = 146827785

Least Common Multiple (LCM) of 27085 and 27105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27085 and 27105. First we will calculate the prime factors of 27085 and 27105.

Prime Factorization of 27085

Prime factors of 27085 are 5, 5417. Prime factorization of 27085 in exponential form is:

27085 = 51 × 54171

Prime Factorization of 27105

Prime factors of 27105 are 3, 5, 13, 139. Prime factorization of 27105 in exponential form is:

27105 = 31 × 51 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 27085 and 27105.

LCM(27085,27105) = 51 × 54171 × 31 × 131 × 1391
LCM(27085,27105) = 146827785