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What is the Least Common Multiple of 77039 and 77056?

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 77039 and 77056 is 5936317184.

LCM(77039,77056) = 5936317184

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Least Common Multiple of 77039 and 77056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77039 and 77056, than apply into the LCM equation.

GCF(77039,77056) = 1
LCM(77039,77056) = ( 77039 × 77056) / 1
LCM(77039,77056) = 5936317184 / 1
LCM(77039,77056) = 5936317184

Least Common Multiple (LCM) of 77039 and 77056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77039 and 77056. First we will calculate the prime factors of 77039 and 77056.

Prime Factorization of 77039

Prime factors of 77039 are 41, 1879. Prime factorization of 77039 in exponential form is:

77039 = 411 × 18791

Prime Factorization of 77056

Prime factors of 77056 are 2, 7, 43. Prime factorization of 77056 in exponential form is:

77056 = 28 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 77039 and 77056.

LCM(77039,77056) = 411 × 18791 × 28 × 71 × 431
LCM(77039,77056) = 5936317184