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What is the Least Common Multiple of 27867 and 27876?

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 27876 is 258940164.

LCM(27867,27876) = 258940164

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Least Common Multiple of 27867 and 27876 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 27876, than apply into the LCM equation.

GCF(27867,27876) = 3
LCM(27867,27876) = ( 27867 × 27876) / 3
LCM(27867,27876) = 776820492 / 3
LCM(27867,27876) = 258940164

Least Common Multiple (LCM) of 27867 and 27876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27867 and 27876. First we will calculate the prime factors of 27867 and 27876.

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 27876

Prime factors of 27876 are 2, 3, 23, 101. Prime factorization of 27876 in exponential form is:

27876 = 22 × 31 × 231 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 27867 and 27876.

LCM(27867,27876) = 31 × 71 × 13271 × 22 × 231 × 1011
LCM(27867,27876) = 258940164