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What is the Least Common Multiple of 1861 and 1872?

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 1861 and 1872 is 3483792.

LCM(1861,1872) = 3483792

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Least Common Multiple of 1861 and 1872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1861 and 1872, than apply into the LCM equation.

GCF(1861,1872) = 1
LCM(1861,1872) = ( 1861 × 1872) / 1
LCM(1861,1872) = 3483792 / 1
LCM(1861,1872) = 3483792

Least Common Multiple (LCM) of 1861 and 1872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1861 and 1872. First we will calculate the prime factors of 1861 and 1872.

Prime Factorization of 1861

Prime factors of 1861 are 1861. Prime factorization of 1861 in exponential form is:

1861 = 18611

Prime Factorization of 1872

Prime factors of 1872 are 2, 3, 13. Prime factorization of 1872 in exponential form is:

1872 = 24 × 32 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1861 and 1872.

LCM(1861,1872) = 18611 × 24 × 32 × 131
LCM(1861,1872) = 3483792