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What is the Least Common Multiple of 27867 and 27884?

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 27867 and 27884 is 777043428.

LCM(27867,27884) = 777043428

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Least Common Multiple of 27867 and 27884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27867 and 27884, than apply into the LCM equation.

GCF(27867,27884) = 1
LCM(27867,27884) = ( 27867 × 27884) / 1
LCM(27867,27884) = 777043428 / 1
LCM(27867,27884) = 777043428

Least Common Multiple (LCM) of 27867 and 27884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27867 and 27884. First we will calculate the prime factors of 27867 and 27884.

Prime Factorization of 27867

Prime factors of 27867 are 3, 7, 1327. Prime factorization of 27867 in exponential form is:

27867 = 31 × 71 × 13271

Prime Factorization of 27884

Prime factors of 27884 are 2, 6971. Prime factorization of 27884 in exponential form is:

27884 = 22 × 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 27867 and 27884.

LCM(27867,27884) = 31 × 71 × 13271 × 22 × 69711
LCM(27867,27884) = 777043428