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What is the Least Common Multiple of 7709 and 7718?

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 7709 and 7718 is 59498062.

LCM(7709,7718) = 59498062

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Least Common Multiple of 7709 and 7718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7709 and 7718, than apply into the LCM equation.

GCF(7709,7718) = 1
LCM(7709,7718) = ( 7709 × 7718) / 1
LCM(7709,7718) = 59498062 / 1
LCM(7709,7718) = 59498062

Least Common Multiple (LCM) of 7709 and 7718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7709 and 7718. First we will calculate the prime factors of 7709 and 7718.

Prime Factorization of 7709

Prime factors of 7709 are 13, 593. Prime factorization of 7709 in exponential form is:

7709 = 131 × 5931

Prime Factorization of 7718

Prime factors of 7718 are 2, 17, 227. Prime factorization of 7718 in exponential form is:

7718 = 21 × 171 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7709 and 7718.

LCM(7709,7718) = 131 × 5931 × 21 × 171 × 2271
LCM(7709,7718) = 59498062