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What is the Least Common Multiple of 8042 and 8060?

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 8042 and 8060 is 32409260.

LCM(8042,8060) = 32409260

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Least Common Multiple of 8042 and 8060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8042 and 8060, than apply into the LCM equation.

GCF(8042,8060) = 2
LCM(8042,8060) = ( 8042 × 8060) / 2
LCM(8042,8060) = 64818520 / 2
LCM(8042,8060) = 32409260

Least Common Multiple (LCM) of 8042 and 8060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8042 and 8060. First we will calculate the prime factors of 8042 and 8060.

Prime Factorization of 8042

Prime factors of 8042 are 2, 4021. Prime factorization of 8042 in exponential form is:

8042 = 21 × 40211

Prime Factorization of 8060

Prime factors of 8060 are 2, 5, 13, 31. Prime factorization of 8060 in exponential form is:

8060 = 22 × 51 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8042 and 8060.

LCM(8042,8060) = 22 × 40211 × 51 × 131 × 311
LCM(8042,8060) = 32409260