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What is the Least Common Multiple of 40843 and 40848?

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 40843 and 40848 is 1668354864.

LCM(40843,40848) = 1668354864

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Least Common Multiple of 40843 and 40848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40843 and 40848, than apply into the LCM equation.

GCF(40843,40848) = 1
LCM(40843,40848) = ( 40843 × 40848) / 1
LCM(40843,40848) = 1668354864 / 1
LCM(40843,40848) = 1668354864

Least Common Multiple (LCM) of 40843 and 40848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40843 and 40848. First we will calculate the prime factors of 40843 and 40848.

Prime Factorization of 40843

Prime factors of 40843 are 11, 47, 79. Prime factorization of 40843 in exponential form is:

40843 = 111 × 471 × 791

Prime Factorization of 40848

Prime factors of 40848 are 2, 3, 23, 37. Prime factorization of 40848 in exponential form is:

40848 = 24 × 31 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 40843 and 40848.

LCM(40843,40848) = 111 × 471 × 791 × 24 × 31 × 231 × 371
LCM(40843,40848) = 1668354864