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What is the Least Common Multiple of 77845 and 77858?

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 77845 and 77858 is 6060856010.

LCM(77845,77858) = 6060856010

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Least Common Multiple of 77845 and 77858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77845 and 77858, than apply into the LCM equation.

GCF(77845,77858) = 1
LCM(77845,77858) = ( 77845 × 77858) / 1
LCM(77845,77858) = 6060856010 / 1
LCM(77845,77858) = 6060856010

Least Common Multiple (LCM) of 77845 and 77858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77845 and 77858. First we will calculate the prime factors of 77845 and 77858.

Prime Factorization of 77845

Prime factors of 77845 are 5, 15569. Prime factorization of 77845 in exponential form is:

77845 = 51 × 155691

Prime Factorization of 77858

Prime factors of 77858 are 2, 11, 3539. Prime factorization of 77858 in exponential form is:

77858 = 21 × 111 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 77845 and 77858.

LCM(77845,77858) = 51 × 155691 × 21 × 111 × 35391
LCM(77845,77858) = 6060856010