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What is the Least Common Multiple of 1840 and 1844?

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 1840 and 1844 is 848240.

LCM(1840,1844) = 848240

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Least Common Multiple of 1840 and 1844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1840 and 1844, than apply into the LCM equation.

GCF(1840,1844) = 4
LCM(1840,1844) = ( 1840 × 1844) / 4
LCM(1840,1844) = 3392960 / 4
LCM(1840,1844) = 848240

Least Common Multiple (LCM) of 1840 and 1844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1840 and 1844. First we will calculate the prime factors of 1840 and 1844.

Prime Factorization of 1840

Prime factors of 1840 are 2, 5, 23. Prime factorization of 1840 in exponential form is:

1840 = 24 × 51 × 231

Prime Factorization of 1844

Prime factors of 1844 are 2, 461. Prime factorization of 1844 in exponential form is:

1844 = 22 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 1840 and 1844.

LCM(1840,1844) = 24 × 51 × 231 × 4611
LCM(1840,1844) = 848240