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What is the Least Common Multiple of 9767 and 9777?

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 9767 and 9777 is 95491959.

LCM(9767,9777) = 95491959

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Least Common Multiple of 9767 and 9777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9767 and 9777, than apply into the LCM equation.

GCF(9767,9777) = 1
LCM(9767,9777) = ( 9767 × 9777) / 1
LCM(9767,9777) = 95491959 / 1
LCM(9767,9777) = 95491959

Least Common Multiple (LCM) of 9767 and 9777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9767 and 9777. First we will calculate the prime factors of 9767 and 9777.

Prime Factorization of 9767

Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:

9767 = 97671

Prime Factorization of 9777

Prime factors of 9777 are 3, 3259. Prime factorization of 9777 in exponential form is:

9777 = 31 × 32591

Now multiplying the highest exponent prime factors to calculate the LCM of 9767 and 9777.

LCM(9767,9777) = 97671 × 31 × 32591
LCM(9767,9777) = 95491959