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What is the Least Common Multiple of 76999 and 77009?

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 76999 and 77009 is 5929615991.

LCM(76999,77009) = 5929615991

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Least Common Multiple of 76999 and 77009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76999 and 77009, than apply into the LCM equation.

GCF(76999,77009) = 1
LCM(76999,77009) = ( 76999 × 77009) / 1
LCM(76999,77009) = 5929615991 / 1
LCM(76999,77009) = 5929615991

Least Common Multiple (LCM) of 76999 and 77009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76999 and 77009. First we will calculate the prime factors of 76999 and 77009.

Prime Factorization of 76999

Prime factors of 76999 are 13, 5923. Prime factorization of 76999 in exponential form is:

76999 = 131 × 59231

Prime Factorization of 77009

Prime factors of 77009 are 53, 1453. Prime factorization of 77009 in exponential form is:

77009 = 531 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 76999 and 77009.

LCM(76999,77009) = 131 × 59231 × 531 × 14531
LCM(76999,77009) = 5929615991