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What is the Least Common Multiple of 77806 and 77811?

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 77806 and 77811 is 6054162666.

LCM(77806,77811) = 6054162666

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Least Common Multiple of 77806 and 77811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77806 and 77811, than apply into the LCM equation.

GCF(77806,77811) = 1
LCM(77806,77811) = ( 77806 × 77811) / 1
LCM(77806,77811) = 6054162666 / 1
LCM(77806,77811) = 6054162666

Least Common Multiple (LCM) of 77806 and 77811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77806 and 77811. First we will calculate the prime factors of 77806 and 77811.

Prime Factorization of 77806

Prime factors of 77806 are 2, 38903. Prime factorization of 77806 in exponential form is:

77806 = 21 × 389031

Prime Factorization of 77811

Prime factors of 77811 are 3, 37, 701. Prime factorization of 77811 in exponential form is:

77811 = 31 × 371 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 77806 and 77811.

LCM(77806,77811) = 21 × 389031 × 31 × 371 × 7011
LCM(77806,77811) = 6054162666