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What is the Least Common Multiple of 7066 and 7072?

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 7066 and 7072 is 24985376.

LCM(7066,7072) = 24985376

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Least Common Multiple of 7066 and 7072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7066 and 7072, than apply into the LCM equation.

GCF(7066,7072) = 2
LCM(7066,7072) = ( 7066 × 7072) / 2
LCM(7066,7072) = 49970752 / 2
LCM(7066,7072) = 24985376

Least Common Multiple (LCM) of 7066 and 7072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7066 and 7072. First we will calculate the prime factors of 7066 and 7072.

Prime Factorization of 7066

Prime factors of 7066 are 2, 3533. Prime factorization of 7066 in exponential form is:

7066 = 21 × 35331

Prime Factorization of 7072

Prime factors of 7072 are 2, 13, 17. Prime factorization of 7072 in exponential form is:

7072 = 25 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 7066 and 7072.

LCM(7066,7072) = 25 × 35331 × 131 × 171
LCM(7066,7072) = 24985376