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What is the Least Common Multiple of 7823 and 7840?

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 7823 and 7840 is 61332320.

LCM(7823,7840) = 61332320

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Least Common Multiple of 7823 and 7840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7823 and 7840, than apply into the LCM equation.

GCF(7823,7840) = 1
LCM(7823,7840) = ( 7823 × 7840) / 1
LCM(7823,7840) = 61332320 / 1
LCM(7823,7840) = 61332320

Least Common Multiple (LCM) of 7823 and 7840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7823 and 7840. First we will calculate the prime factors of 7823 and 7840.

Prime Factorization of 7823

Prime factors of 7823 are 7823. Prime factorization of 7823 in exponential form is:

7823 = 78231

Prime Factorization of 7840

Prime factors of 7840 are 2, 5, 7. Prime factorization of 7840 in exponential form is:

7840 = 25 × 51 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 7823 and 7840.

LCM(7823,7840) = 78231 × 25 × 51 × 72
LCM(7823,7840) = 61332320