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What is the Least Common Multiple of 77092 and 77107?

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 77092 and 77107 is 5944332844.

LCM(77092,77107) = 5944332844

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Least Common Multiple of 77092 and 77107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77092 and 77107, than apply into the LCM equation.

GCF(77092,77107) = 1
LCM(77092,77107) = ( 77092 × 77107) / 1
LCM(77092,77107) = 5944332844 / 1
LCM(77092,77107) = 5944332844

Least Common Multiple (LCM) of 77092 and 77107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77092 and 77107. First we will calculate the prime factors of 77092 and 77107.

Prime Factorization of 77092

Prime factors of 77092 are 2, 19273. Prime factorization of 77092 in exponential form is:

77092 = 22 × 192731

Prime Factorization of 77107

Prime factors of 77107 are 83, 929. Prime factorization of 77107 in exponential form is:

77107 = 831 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 77092 and 77107.

LCM(77092,77107) = 22 × 192731 × 831 × 9291
LCM(77092,77107) = 5944332844