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What is the Least Common Multiple of 77771 and 77783?

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 77771 and 77783 is 6049261693.

LCM(77771,77783) = 6049261693

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Least Common Multiple of 77771 and 77783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77771 and 77783, than apply into the LCM equation.

GCF(77771,77783) = 1
LCM(77771,77783) = ( 77771 × 77783) / 1
LCM(77771,77783) = 6049261693 / 1
LCM(77771,77783) = 6049261693

Least Common Multiple (LCM) of 77771 and 77783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77771 and 77783. First we will calculate the prime factors of 77771 and 77783.

Prime Factorization of 77771

Prime factors of 77771 are 83, 937. Prime factorization of 77771 in exponential form is:

77771 = 831 × 9371

Prime Factorization of 77783

Prime factors of 77783 are 77783. Prime factorization of 77783 in exponential form is:

77783 = 777831

Now multiplying the highest exponent prime factors to calculate the LCM of 77771 and 77783.

LCM(77771,77783) = 831 × 9371 × 777831
LCM(77771,77783) = 6049261693