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What is the Least Common Multiple of 77092 and 77112?

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 77112 is 1486179576.

LCM(77092,77112) = 1486179576

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Least Common Multiple of 77092 and 77112 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 77112, than apply into the LCM equation.

GCF(77092,77112) = 4
LCM(77092,77112) = ( 77092 × 77112) / 4
LCM(77092,77112) = 5944718304 / 4
LCM(77092,77112) = 1486179576

Least Common Multiple (LCM) of 77092 and 77112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77092 and 77112. First we will calculate the prime factors of 77092 and 77112.

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 77112

Prime factors of 77112 are 2, 3, 7, 17. Prime factorization of 77112 in exponential form is:

77112 = 23 × 34 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 77092 and 77112.

LCM(77092,77112) = 23 × 192731 × 34 × 71 × 171
LCM(77092,77112) = 1486179576