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What is the Least Common Multiple of 18876 and 18886?

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 18876 and 18886 is 178246068.

LCM(18876,18886) = 178246068

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Least Common Multiple of 18876 and 18886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18876 and 18886, than apply into the LCM equation.

GCF(18876,18886) = 2
LCM(18876,18886) = ( 18876 × 18886) / 2
LCM(18876,18886) = 356492136 / 2
LCM(18876,18886) = 178246068

Least Common Multiple (LCM) of 18876 and 18886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18876 and 18886. First we will calculate the prime factors of 18876 and 18886.

Prime Factorization of 18876

Prime factors of 18876 are 2, 3, 11, 13. Prime factorization of 18876 in exponential form is:

18876 = 22 × 31 × 112 × 131

Prime Factorization of 18886

Prime factors of 18886 are 2, 7, 19, 71. Prime factorization of 18886 in exponential form is:

18886 = 21 × 71 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 18876 and 18886.

LCM(18876,18886) = 22 × 31 × 112 × 131 × 71 × 191 × 711
LCM(18876,18886) = 178246068