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What is the Least Common Multiple of 7072 and 7082?

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 7072 and 7082 is 25041952.

LCM(7072,7082) = 25041952

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Least Common Multiple of 7072 and 7082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7072 and 7082, than apply into the LCM equation.

GCF(7072,7082) = 2
LCM(7072,7082) = ( 7072 × 7082) / 2
LCM(7072,7082) = 50083904 / 2
LCM(7072,7082) = 25041952

Least Common Multiple (LCM) of 7072 and 7082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7072 and 7082. First we will calculate the prime factors of 7072 and 7082.

Prime Factorization of 7072

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

7072 = 25 × 131 × 171

Prime Factorization of 7082

Prime factors of 7082 are 2, 3541. Prime factorization of 7082 in exponential form is:

7082 = 21 × 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 7072 and 7082.

LCM(7072,7082) = 25 × 131 × 171 × 35411
LCM(7072,7082) = 25041952