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What is the Least Common Multiple of 8077 and 8084?

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 8077 and 8084 is 65294468.

LCM(8077,8084) = 65294468

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Least Common Multiple of 8077 and 8084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8077 and 8084, than apply into the LCM equation.

GCF(8077,8084) = 1
LCM(8077,8084) = ( 8077 × 8084) / 1
LCM(8077,8084) = 65294468 / 1
LCM(8077,8084) = 65294468

Least Common Multiple (LCM) of 8077 and 8084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8077 and 8084. First we will calculate the prime factors of 8077 and 8084.

Prime Factorization of 8077

Prime factors of 8077 are 41, 197. Prime factorization of 8077 in exponential form is:

8077 = 411 × 1971

Prime Factorization of 8084

Prime factors of 8084 are 2, 43, 47. Prime factorization of 8084 in exponential form is:

8084 = 22 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8077 and 8084.

LCM(8077,8084) = 411 × 1971 × 22 × 431 × 471
LCM(8077,8084) = 65294468