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What is the Least Common Multiple of 22811 and 22827?

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 22811 and 22827 is 520706697.

LCM(22811,22827) = 520706697

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Least Common Multiple of 22811 and 22827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22811 and 22827, than apply into the LCM equation.

GCF(22811,22827) = 1
LCM(22811,22827) = ( 22811 × 22827) / 1
LCM(22811,22827) = 520706697 / 1
LCM(22811,22827) = 520706697

Least Common Multiple (LCM) of 22811 and 22827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22811 and 22827. First we will calculate the prime factors of 22811 and 22827.

Prime Factorization of 22811

Prime factors of 22811 are 22811. Prime factorization of 22811 in exponential form is:

22811 = 228111

Prime Factorization of 22827

Prime factors of 22827 are 3, 7, 1087. Prime factorization of 22827 in exponential form is:

22827 = 31 × 71 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 22811 and 22827.

LCM(22811,22827) = 228111 × 31 × 71 × 10871
LCM(22811,22827) = 520706697