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What is the Least Common Multiple of 67823 and 67840?

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 67823 and 67840 is 4601112320.

LCM(67823,67840) = 4601112320

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Least Common Multiple of 67823 and 67840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67823 and 67840, than apply into the LCM equation.

GCF(67823,67840) = 1
LCM(67823,67840) = ( 67823 × 67840) / 1
LCM(67823,67840) = 4601112320 / 1
LCM(67823,67840) = 4601112320

Least Common Multiple (LCM) of 67823 and 67840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67823 and 67840. First we will calculate the prime factors of 67823 and 67840.

Prime Factorization of 67823

Prime factors of 67823 are 7, 9689. Prime factorization of 67823 in exponential form is:

67823 = 71 × 96891

Prime Factorization of 67840

Prime factors of 67840 are 2, 5, 53. Prime factorization of 67840 in exponential form is:

67840 = 28 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 67823 and 67840.

LCM(67823,67840) = 71 × 96891 × 28 × 51 × 531
LCM(67823,67840) = 4601112320