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What is the Least Common Multiple of 77882 and 77899?

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 77882 and 77899 is 6066929918.

LCM(77882,77899) = 6066929918

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Least Common Multiple of 77882 and 77899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77882 and 77899, than apply into the LCM equation.

GCF(77882,77899) = 1
LCM(77882,77899) = ( 77882 × 77899) / 1
LCM(77882,77899) = 6066929918 / 1
LCM(77882,77899) = 6066929918

Least Common Multiple (LCM) of 77882 and 77899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77882 and 77899. First we will calculate the prime factors of 77882 and 77899.

Prime Factorization of 77882

Prime factors of 77882 are 2, 7, 5563. Prime factorization of 77882 in exponential form is:

77882 = 21 × 71 × 55631

Prime Factorization of 77899

Prime factors of 77899 are 77899. Prime factorization of 77899 in exponential form is:

77899 = 778991

Now multiplying the highest exponent prime factors to calculate the LCM of 77882 and 77899.

LCM(77882,77899) = 21 × 71 × 55631 × 778991
LCM(77882,77899) = 6066929918