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What is the Least Common Multiple of 27858 and 27877?

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 27858 and 27877 is 776597466.

LCM(27858,27877) = 776597466

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Least Common Multiple of 27858 and 27877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27858 and 27877, than apply into the LCM equation.

GCF(27858,27877) = 1
LCM(27858,27877) = ( 27858 × 27877) / 1
LCM(27858,27877) = 776597466 / 1
LCM(27858,27877) = 776597466

Least Common Multiple (LCM) of 27858 and 27877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27858 and 27877. First we will calculate the prime factors of 27858 and 27877.

Prime Factorization of 27858

Prime factors of 27858 are 2, 3, 4643. Prime factorization of 27858 in exponential form is:

27858 = 21 × 31 × 46431

Prime Factorization of 27877

Prime factors of 27877 are 61, 457. Prime factorization of 27877 in exponential form is:

27877 = 611 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 27858 and 27877.

LCM(27858,27877) = 21 × 31 × 46431 × 611 × 4571
LCM(27858,27877) = 776597466