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What is the Least Common Multiple of 1848 and 1859?

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 1848 and 1859 is 312312.

LCM(1848,1859) = 312312

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Least Common Multiple of 1848 and 1859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1848 and 1859, than apply into the LCM equation.

GCF(1848,1859) = 11
LCM(1848,1859) = ( 1848 × 1859) / 11
LCM(1848,1859) = 3435432 / 11
LCM(1848,1859) = 312312

Least Common Multiple (LCM) of 1848 and 1859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1848 and 1859. First we will calculate the prime factors of 1848 and 1859.

Prime Factorization of 1848

Prime factors of 1848 are 2, 3, 7, 11. Prime factorization of 1848 in exponential form is:

1848 = 23 × 31 × 71 × 111

Prime Factorization of 1859

Prime factors of 1859 are 11, 13. Prime factorization of 1859 in exponential form is:

1859 = 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 1848 and 1859.

LCM(1848,1859) = 23 × 31 × 71 × 111 × 132
LCM(1848,1859) = 312312