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What is the Least Common Multiple of 27706 and 27725?

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 27706 and 27725 is 768148850.

LCM(27706,27725) = 768148850

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Least Common Multiple of 27706 and 27725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27706 and 27725, than apply into the LCM equation.

GCF(27706,27725) = 1
LCM(27706,27725) = ( 27706 × 27725) / 1
LCM(27706,27725) = 768148850 / 1
LCM(27706,27725) = 768148850

Least Common Multiple (LCM) of 27706 and 27725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27706 and 27725. First we will calculate the prime factors of 27706 and 27725.

Prime Factorization of 27706

Prime factors of 27706 are 2, 7, 1979. Prime factorization of 27706 in exponential form is:

27706 = 21 × 71 × 19791

Prime Factorization of 27725

Prime factors of 27725 are 5, 1109. Prime factorization of 27725 in exponential form is:

27725 = 52 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 27706 and 27725.

LCM(27706,27725) = 21 × 71 × 19791 × 52 × 11091
LCM(27706,27725) = 768148850