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What is the Least Common Multiple of 7832 and 7848?

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 7832 and 7848 is 7683192.

LCM(7832,7848) = 7683192

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Least Common Multiple of 7832 and 7848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7832 and 7848, than apply into the LCM equation.

GCF(7832,7848) = 8
LCM(7832,7848) = ( 7832 × 7848) / 8
LCM(7832,7848) = 61465536 / 8
LCM(7832,7848) = 7683192

Least Common Multiple (LCM) of 7832 and 7848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7832 and 7848. First we will calculate the prime factors of 7832 and 7848.

Prime Factorization of 7832

Prime factors of 7832 are 2, 11, 89. Prime factorization of 7832 in exponential form is:

7832 = 23 × 111 × 891

Prime Factorization of 7848

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

7848 = 23 × 32 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7832 and 7848.

LCM(7832,7848) = 23 × 111 × 891 × 32 × 1091
LCM(7832,7848) = 7683192