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What is the Least Common Multiple of 76069 and 76077?

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 76069 and 76077 is 5787101313.

LCM(76069,76077) = 5787101313

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Least Common Multiple of 76069 and 76077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76069 and 76077, than apply into the LCM equation.

GCF(76069,76077) = 1
LCM(76069,76077) = ( 76069 × 76077) / 1
LCM(76069,76077) = 5787101313 / 1
LCM(76069,76077) = 5787101313

Least Common Multiple (LCM) of 76069 and 76077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76069 and 76077. First we will calculate the prime factors of 76069 and 76077.

Prime Factorization of 76069

Prime factors of 76069 are 7, 10867. Prime factorization of 76069 in exponential form is:

76069 = 71 × 108671

Prime Factorization of 76077

Prime factors of 76077 are 3, 79, 107. Prime factorization of 76077 in exponential form is:

76077 = 32 × 791 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 76069 and 76077.

LCM(76069,76077) = 71 × 108671 × 32 × 791 × 1071
LCM(76069,76077) = 5787101313