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What is the Least Common Multiple of 77069 and 77081?

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 77081 is 5940555589.

LCM(77069,77081) = 5940555589

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Least Common Multiple of 77069 and 77081 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 77081, than apply into the LCM equation.

GCF(77069,77081) = 1
LCM(77069,77081) = ( 77069 × 77081) / 1
LCM(77069,77081) = 5940555589 / 1
LCM(77069,77081) = 5940555589

Least Common Multiple (LCM) of 77069 and 77081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77069 and 77081. First we will calculate the prime factors of 77069 and 77081.

Prime Factorization of 77069

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

77069 = 770691

Prime Factorization of 77081

Prime factors of 77081 are 77081. Prime factorization of 77081 in exponential form is:

77081 = 770811

Now multiplying the highest exponent prime factors to calculate the LCM of 77069 and 77081.

LCM(77069,77081) = 770691 × 770811
LCM(77069,77081) = 5940555589