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What is the Least Common Multiple of 76892 and 76904?

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 76892 and 76904 is 1478325592.

LCM(76892,76904) = 1478325592

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Least Common Multiple of 76892 and 76904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76892 and 76904, than apply into the LCM equation.

GCF(76892,76904) = 4
LCM(76892,76904) = ( 76892 × 76904) / 4
LCM(76892,76904) = 5913302368 / 4
LCM(76892,76904) = 1478325592

Least Common Multiple (LCM) of 76892 and 76904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76892 and 76904. First we will calculate the prime factors of 76892 and 76904.

Prime Factorization of 76892

Prime factors of 76892 are 2, 47, 409. Prime factorization of 76892 in exponential form is:

76892 = 22 × 471 × 4091

Prime Factorization of 76904

Prime factors of 76904 are 2, 9613. Prime factorization of 76904 in exponential form is:

76904 = 23 × 96131

Now multiplying the highest exponent prime factors to calculate the LCM of 76892 and 76904.

LCM(76892,76904) = 23 × 471 × 4091 × 96131
LCM(76892,76904) = 1478325592