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What is the Least Common Multiple of 7729 and 7738?

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 7729 and 7738 is 59807002.

LCM(7729,7738) = 59807002

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Least Common Multiple of 7729 and 7738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7729 and 7738, than apply into the LCM equation.

GCF(7729,7738) = 1
LCM(7729,7738) = ( 7729 × 7738) / 1
LCM(7729,7738) = 59807002 / 1
LCM(7729,7738) = 59807002

Least Common Multiple (LCM) of 7729 and 7738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7729 and 7738. First we will calculate the prime factors of 7729 and 7738.

Prime Factorization of 7729

Prime factors of 7729 are 59, 131. Prime factorization of 7729 in exponential form is:

7729 = 591 × 1311

Prime Factorization of 7738

Prime factors of 7738 are 2, 53, 73. Prime factorization of 7738 in exponential form is:

7738 = 21 × 531 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 7729 and 7738.

LCM(7729,7738) = 591 × 1311 × 21 × 531 × 731
LCM(7729,7738) = 59807002