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What is the Least Common Multiple of 7717 and 7728?

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 7717 and 7728 is 59636976.

LCM(7717,7728) = 59636976

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Least Common Multiple of 7717 and 7728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7717 and 7728, than apply into the LCM equation.

GCF(7717,7728) = 1
LCM(7717,7728) = ( 7717 × 7728) / 1
LCM(7717,7728) = 59636976 / 1
LCM(7717,7728) = 59636976

Least Common Multiple (LCM) of 7717 and 7728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7717 and 7728. First we will calculate the prime factors of 7717 and 7728.

Prime Factorization of 7717

Prime factors of 7717 are 7717. Prime factorization of 7717 in exponential form is:

7717 = 77171

Prime Factorization of 7728

Prime factors of 7728 are 2, 3, 7, 23. Prime factorization of 7728 in exponential form is:

7728 = 24 × 31 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7717 and 7728.

LCM(7717,7728) = 77171 × 24 × 31 × 71 × 231
LCM(7717,7728) = 59636976