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What is the Least Common Multiple of 7736 and 7745?

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 7736 and 7745 is 59915320.

LCM(7736,7745) = 59915320

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Least Common Multiple of 7736 and 7745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7736 and 7745, than apply into the LCM equation.

GCF(7736,7745) = 1
LCM(7736,7745) = ( 7736 × 7745) / 1
LCM(7736,7745) = 59915320 / 1
LCM(7736,7745) = 59915320

Least Common Multiple (LCM) of 7736 and 7745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7736 and 7745. First we will calculate the prime factors of 7736 and 7745.

Prime Factorization of 7736

Prime factors of 7736 are 2, 967. Prime factorization of 7736 in exponential form is:

7736 = 23 × 9671

Prime Factorization of 7745

Prime factors of 7745 are 5, 1549. Prime factorization of 7745 in exponential form is:

7745 = 51 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 7736 and 7745.

LCM(7736,7745) = 23 × 9671 × 51 × 15491
LCM(7736,7745) = 59915320