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What is the Least Common Multiple of 7848 and 7865?

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 7848 and 7865 is 61724520.

LCM(7848,7865) = 61724520

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Least Common Multiple of 7848 and 7865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7848 and 7865, than apply into the LCM equation.

GCF(7848,7865) = 1
LCM(7848,7865) = ( 7848 × 7865) / 1
LCM(7848,7865) = 61724520 / 1
LCM(7848,7865) = 61724520

Least Common Multiple (LCM) of 7848 and 7865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7848 and 7865. First we will calculate the prime factors of 7848 and 7865.

Prime Factorization of 7848

Prime factors of 7848 are 2, 3, 109. Prime factorization of 7848 in exponential form is:

7848 = 23 × 32 × 1091

Prime Factorization of 7865

Prime factors of 7865 are 5, 11, 13. Prime factorization of 7865 in exponential form is:

7865 = 51 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 7848 and 7865.

LCM(7848,7865) = 23 × 32 × 1091 × 51 × 112 × 131
LCM(7848,7865) = 61724520