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What is the Least Common Multiple of 27771 and 27781?

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 27771 and 27781 is 771506151.

LCM(27771,27781) = 771506151

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Least Common Multiple of 27771 and 27781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27771 and 27781, than apply into the LCM equation.

GCF(27771,27781) = 1
LCM(27771,27781) = ( 27771 × 27781) / 1
LCM(27771,27781) = 771506151 / 1
LCM(27771,27781) = 771506151

Least Common Multiple (LCM) of 27771 and 27781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27771 and 27781. First we will calculate the prime factors of 27771 and 27781.

Prime Factorization of 27771

Prime factors of 27771 are 3, 9257. Prime factorization of 27771 in exponential form is:

27771 = 31 × 92571

Prime Factorization of 27781

Prime factors of 27781 are 13, 2137. Prime factorization of 27781 in exponential form is:

27781 = 131 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 27771 and 27781.

LCM(27771,27781) = 31 × 92571 × 131 × 21371
LCM(27771,27781) = 771506151