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What is the Least Common Multiple of 27785 and 27796?

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 27785 and 27796 is 772311860.

LCM(27785,27796) = 772311860

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Least Common Multiple of 27785 and 27796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27785 and 27796, than apply into the LCM equation.

GCF(27785,27796) = 1
LCM(27785,27796) = ( 27785 × 27796) / 1
LCM(27785,27796) = 772311860 / 1
LCM(27785,27796) = 772311860

Least Common Multiple (LCM) of 27785 and 27796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27785 and 27796. First we will calculate the prime factors of 27785 and 27796.

Prime Factorization of 27785

Prime factors of 27785 are 5, 5557. Prime factorization of 27785 in exponential form is:

27785 = 51 × 55571

Prime Factorization of 27796

Prime factors of 27796 are 2, 6949. Prime factorization of 27796 in exponential form is:

27796 = 22 × 69491

Now multiplying the highest exponent prime factors to calculate the LCM of 27785 and 27796.

LCM(27785,27796) = 51 × 55571 × 22 × 69491
LCM(27785,27796) = 772311860