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What is the Least Common Multiple of 8074 and 8093?

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 8074 and 8093 is 65342882.

LCM(8074,8093) = 65342882

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Least Common Multiple of 8074 and 8093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8074 and 8093, than apply into the LCM equation.

GCF(8074,8093) = 1
LCM(8074,8093) = ( 8074 × 8093) / 1
LCM(8074,8093) = 65342882 / 1
LCM(8074,8093) = 65342882

Least Common Multiple (LCM) of 8074 and 8093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8074 and 8093. First we will calculate the prime factors of 8074 and 8093.

Prime Factorization of 8074

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

8074 = 21 × 111 × 3671

Prime Factorization of 8093

Prime factors of 8093 are 8093. Prime factorization of 8093 in exponential form is:

8093 = 80931

Now multiplying the highest exponent prime factors to calculate the LCM of 8074 and 8093.

LCM(8074,8093) = 21 × 111 × 3671 × 80931
LCM(8074,8093) = 65342882