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What is the Least Common Multiple of 1846 and 1851?

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 1846 and 1851 is 3416946.

LCM(1846,1851) = 3416946

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Least Common Multiple of 1846 and 1851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1846 and 1851, than apply into the LCM equation.

GCF(1846,1851) = 1
LCM(1846,1851) = ( 1846 × 1851) / 1
LCM(1846,1851) = 3416946 / 1
LCM(1846,1851) = 3416946

Least Common Multiple (LCM) of 1846 and 1851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1846 and 1851. First we will calculate the prime factors of 1846 and 1851.

Prime Factorization of 1846

Prime factors of 1846 are 2, 13, 71. Prime factorization of 1846 in exponential form is:

1846 = 21 × 131 × 711

Prime Factorization of 1851

Prime factors of 1851 are 3, 617. Prime factorization of 1851 in exponential form is:

1851 = 31 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 1846 and 1851.

LCM(1846,1851) = 21 × 131 × 711 × 31 × 6171
LCM(1846,1851) = 3416946