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What is the Least Common Multiple of 8061 and 8074?

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 8061 and 8074 is 65084514.

LCM(8061,8074) = 65084514

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Least Common Multiple of 8061 and 8074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8061 and 8074, than apply into the LCM equation.

GCF(8061,8074) = 1
LCM(8061,8074) = ( 8061 × 8074) / 1
LCM(8061,8074) = 65084514 / 1
LCM(8061,8074) = 65084514

Least Common Multiple (LCM) of 8061 and 8074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8061 and 8074. First we will calculate the prime factors of 8061 and 8074.

Prime Factorization of 8061

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

8061 = 31 × 26871

Prime Factorization of 8074

Prime factors of 8074 are 2, 11, 367. Prime factorization of 8074 in exponential form is:

8074 = 21 × 111 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 8061 and 8074.

LCM(8061,8074) = 31 × 26871 × 21 × 111 × 3671
LCM(8061,8074) = 65084514