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What is the Least Common Multiple of 8047 and 8061?

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 8047 and 8061 is 64866867.

LCM(8047,8061) = 64866867

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Least Common Multiple of 8047 and 8061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8047 and 8061, than apply into the LCM equation.

GCF(8047,8061) = 1
LCM(8047,8061) = ( 8047 × 8061) / 1
LCM(8047,8061) = 64866867 / 1
LCM(8047,8061) = 64866867

Least Common Multiple (LCM) of 8047 and 8061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8047 and 8061. First we will calculate the prime factors of 8047 and 8061.

Prime Factorization of 8047

Prime factors of 8047 are 13, 619. Prime factorization of 8047 in exponential form is:

8047 = 131 × 6191

Prime Factorization of 8061

Prime factors of 8061 are 3, 2687. Prime factorization of 8061 in exponential form is:

8061 = 31 × 26871

Now multiplying the highest exponent prime factors to calculate the LCM of 8047 and 8061.

LCM(8047,8061) = 131 × 6191 × 31 × 26871
LCM(8047,8061) = 64866867