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What is the Least Common Multiple of 77181 and 77185?

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 77181 and 77185 is 5957215485.

LCM(77181,77185) = 5957215485

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Least Common Multiple of 77181 and 77185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77181 and 77185, than apply into the LCM equation.

GCF(77181,77185) = 1
LCM(77181,77185) = ( 77181 × 77185) / 1
LCM(77181,77185) = 5957215485 / 1
LCM(77181,77185) = 5957215485

Least Common Multiple (LCM) of 77181 and 77185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77181 and 77185. First we will calculate the prime factors of 77181 and 77185.

Prime Factorization of 77181

Prime factors of 77181 are 3, 13, 1979. Prime factorization of 77181 in exponential form is:

77181 = 31 × 131 × 19791

Prime Factorization of 77185

Prime factors of 77185 are 5, 43, 359. Prime factorization of 77185 in exponential form is:

77185 = 51 × 431 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 77181 and 77185.

LCM(77181,77185) = 31 × 131 × 19791 × 51 × 431 × 3591
LCM(77181,77185) = 5957215485