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What is the Least Common Multiple of 7865 and 7882?

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 7865 and 7882 is 61991930.

LCM(7865,7882) = 61991930

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Least Common Multiple of 7865 and 7882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7865 and 7882, than apply into the LCM equation.

GCF(7865,7882) = 1
LCM(7865,7882) = ( 7865 × 7882) / 1
LCM(7865,7882) = 61991930 / 1
LCM(7865,7882) = 61991930

Least Common Multiple (LCM) of 7865 and 7882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7865 and 7882. First we will calculate the prime factors of 7865 and 7882.

Prime Factorization of 7865

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

7865 = 51 × 112 × 131

Prime Factorization of 7882

Prime factors of 7882 are 2, 7, 563. Prime factorization of 7882 in exponential form is:

7882 = 21 × 71 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 7865 and 7882.

LCM(7865,7882) = 51 × 112 × 131 × 21 × 71 × 5631
LCM(7865,7882) = 61991930