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What is the Least Common Multiple of 1879 and 1886?

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 1879 and 1886 is 3543794.

LCM(1879,1886) = 3543794

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Least Common Multiple of 1879 and 1886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1879 and 1886, than apply into the LCM equation.

GCF(1879,1886) = 1
LCM(1879,1886) = ( 1879 × 1886) / 1
LCM(1879,1886) = 3543794 / 1
LCM(1879,1886) = 3543794

Least Common Multiple (LCM) of 1879 and 1886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1879 and 1886. First we will calculate the prime factors of 1879 and 1886.

Prime Factorization of 1879

Prime factors of 1879 are 1879. Prime factorization of 1879 in exponential form is:

1879 = 18791

Prime Factorization of 1886

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

1886 = 21 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1879 and 1886.

LCM(1879,1886) = 18791 × 21 × 231 × 411
LCM(1879,1886) = 3543794