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What is the Least Common Multiple of 7072 and 7081?

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 7081 is 50076832.

LCM(7072,7081) = 50076832

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Least Common Multiple of 7072 and 7081 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 7081, than apply into the LCM equation.

GCF(7072,7081) = 1
LCM(7072,7081) = ( 7072 × 7081) / 1
LCM(7072,7081) = 50076832 / 1
LCM(7072,7081) = 50076832

Least Common Multiple (LCM) of 7072 and 7081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7072 and 7081. First we will calculate the prime factors of 7072 and 7081.

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 7081

Prime factors of 7081 are 73, 97. Prime factorization of 7081 in exponential form is:

7081 = 731 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 7072 and 7081.

LCM(7072,7081) = 25 × 131 × 171 × 731 × 971
LCM(7072,7081) = 50076832