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What is the Least Common Multiple of 27706 and 27722?

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 27722 is 384032866.

LCM(27706,27722) = 384032866

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Least Common Multiple of 27706 and 27722 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 27722, than apply into the LCM equation.

GCF(27706,27722) = 2
LCM(27706,27722) = ( 27706 × 27722) / 2
LCM(27706,27722) = 768065732 / 2
LCM(27706,27722) = 384032866

Least Common Multiple (LCM) of 27706 and 27722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27706 and 27722. First we will calculate the prime factors of 27706 and 27722.

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 27722

Prime factors of 27722 are 2, 83, 167. Prime factorization of 27722 in exponential form is:

27722 = 21 × 831 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 27706 and 27722.

LCM(27706,27722) = 21 × 71 × 19791 × 831 × 1671
LCM(27706,27722) = 384032866