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What is the Least Common Multiple of 1886 and 1891?

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 1886 and 1891 is 3566426.

LCM(1886,1891) = 3566426

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Least Common Multiple of 1886 and 1891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1886 and 1891, than apply into the LCM equation.

GCF(1886,1891) = 1
LCM(1886,1891) = ( 1886 × 1891) / 1
LCM(1886,1891) = 3566426 / 1
LCM(1886,1891) = 3566426

Least Common Multiple (LCM) of 1886 and 1891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1886 and 1891. First we will calculate the prime factors of 1886 and 1891.

Prime Factorization of 1886

Prime factors of 1886 are 2, 23, 41. Prime factorization of 1886 in exponential form is:

1886 = 21 × 231 × 411

Prime Factorization of 1891

Prime factors of 1891 are 31, 61. Prime factorization of 1891 in exponential form is:

1891 = 311 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 1886 and 1891.

LCM(1886,1891) = 21 × 231 × 411 × 311 × 611
LCM(1886,1891) = 3566426