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What is the Least Common Multiple of 77069 and 77084?

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 77069 and 77084 is 5940786796.

LCM(77069,77084) = 5940786796

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Least Common Multiple of 77069 and 77084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77069 and 77084, than apply into the LCM equation.

GCF(77069,77084) = 1
LCM(77069,77084) = ( 77069 × 77084) / 1
LCM(77069,77084) = 5940786796 / 1
LCM(77069,77084) = 5940786796

Least Common Multiple (LCM) of 77069 and 77084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77069 and 77084. First we will calculate the prime factors of 77069 and 77084.

Prime Factorization of 77069

Prime factors of 77069 are 77069. Prime factorization of 77069 in exponential form is:

77069 = 770691

Prime Factorization of 77084

Prime factors of 77084 are 2, 7, 2753. Prime factorization of 77084 in exponential form is:

77084 = 22 × 71 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 77069 and 77084.

LCM(77069,77084) = 770691 × 22 × 71 × 27531
LCM(77069,77084) = 5940786796