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What is the Least Common Multiple of 76913 and 76918?

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 76913 and 76918 is 5915994134.

LCM(76913,76918) = 5915994134

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Least Common Multiple of 76913 and 76918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76913 and 76918, than apply into the LCM equation.

GCF(76913,76918) = 1
LCM(76913,76918) = ( 76913 × 76918) / 1
LCM(76913,76918) = 5915994134 / 1
LCM(76913,76918) = 5915994134

Least Common Multiple (LCM) of 76913 and 76918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76913 and 76918. First we will calculate the prime factors of 76913 and 76918.

Prime Factorization of 76913

Prime factors of 76913 are 76913. Prime factorization of 76913 in exponential form is:

76913 = 769131

Prime Factorization of 76918

Prime factors of 76918 are 2, 38459. Prime factorization of 76918 in exponential form is:

76918 = 21 × 384591

Now multiplying the highest exponent prime factors to calculate the LCM of 76913 and 76918.

LCM(76913,76918) = 769131 × 21 × 384591
LCM(76913,76918) = 5915994134