What is the Least Common Multiple of 27873 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 27873 and 27884 is 777210732.
LCM(27873,27884) = 777210732
Least Common Multiple of 27873 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 27873 and 27884, than apply into the LCM equation.
GCF(27873,27884) = 1
LCM(27873,27884) = ( 27873 × 27884) / 1
LCM(27873,27884) = 777210732 / 1
LCM(27873,27884) = 777210732
Least Common Multiple (LCM) of 27873 and 27884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27873 and 27884. First we will calculate the prime factors of 27873 and 27884.
Prime Factorization of 27873
Prime factors of 27873 are 3, 19, 163. Prime factorization of 27873 in exponential form is:
27873 = 32 × 191 × 1631
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 27873 and 27884.
LCM(27873,27884) = 32 × 191 × 1631 × 22 × 69711
LCM(27873,27884) = 777210732
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