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What is the Least Common Multiple of 76988 and 77008?

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 76988 and 77008 is 1482172976.

LCM(76988,77008) = 1482172976

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Least Common Multiple of 76988 and 77008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76988 and 77008, than apply into the LCM equation.

GCF(76988,77008) = 4
LCM(76988,77008) = ( 76988 × 77008) / 4
LCM(76988,77008) = 5928691904 / 4
LCM(76988,77008) = 1482172976

Least Common Multiple (LCM) of 76988 and 77008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76988 and 77008. First we will calculate the prime factors of 76988 and 77008.

Prime Factorization of 76988

Prime factors of 76988 are 2, 19, 1013. Prime factorization of 76988 in exponential form is:

76988 = 22 × 191 × 10131

Prime Factorization of 77008

Prime factors of 77008 are 2, 4813. Prime factorization of 77008 in exponential form is:

77008 = 24 × 48131

Now multiplying the highest exponent prime factors to calculate the LCM of 76988 and 77008.

LCM(76988,77008) = 24 × 191 × 10131 × 48131
LCM(76988,77008) = 1482172976