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What is the Least Common Multiple of 18886 and 18894?

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 18886 and 18894 is 178416042.

LCM(18886,18894) = 178416042

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Least Common Multiple of 18886 and 18894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18886 and 18894, than apply into the LCM equation.

GCF(18886,18894) = 2
LCM(18886,18894) = ( 18886 × 18894) / 2
LCM(18886,18894) = 356832084 / 2
LCM(18886,18894) = 178416042

Least Common Multiple (LCM) of 18886 and 18894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18886 and 18894. First we will calculate the prime factors of 18886 and 18894.

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

Prime Factorization of 18894

Prime factors of 18894 are 2, 3, 47, 67. Prime factorization of 18894 in exponential form is:

18894 = 21 × 31 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 18886 and 18894.

LCM(18886,18894) = 21 × 71 × 191 × 711 × 31 × 471 × 671
LCM(18886,18894) = 178416042