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What is the Least Common Multiple of 7677 and 7697?

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 7677 and 7697 is 59089869.

LCM(7677,7697) = 59089869

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Least Common Multiple of 7677 and 7697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7677 and 7697, than apply into the LCM equation.

GCF(7677,7697) = 1
LCM(7677,7697) = ( 7677 × 7697) / 1
LCM(7677,7697) = 59089869 / 1
LCM(7677,7697) = 59089869

Least Common Multiple (LCM) of 7677 and 7697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7677 and 7697. First we will calculate the prime factors of 7677 and 7697.

Prime Factorization of 7677

Prime factors of 7677 are 3, 853. Prime factorization of 7677 in exponential form is:

7677 = 32 × 8531

Prime Factorization of 7697

Prime factors of 7697 are 43, 179. Prime factorization of 7697 in exponential form is:

7697 = 431 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7677 and 7697.

LCM(7677,7697) = 32 × 8531 × 431 × 1791
LCM(7677,7697) = 59089869