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What is the Least Common Multiple of 7072 and 7083?

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 7083 is 50090976.

LCM(7072,7083) = 50090976

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Least Common Multiple of 7072 and 7083 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 7083, than apply into the LCM equation.

GCF(7072,7083) = 1
LCM(7072,7083) = ( 7072 × 7083) / 1
LCM(7072,7083) = 50090976 / 1
LCM(7072,7083) = 50090976

Least Common Multiple (LCM) of 7072 and 7083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7072 and 7083. First we will calculate the prime factors of 7072 and 7083.

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 7083

Prime factors of 7083 are 3, 787. Prime factorization of 7083 in exponential form is:

7083 = 32 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 7072 and 7083.

LCM(7072,7083) = 25 × 131 × 171 × 32 × 7871
LCM(7072,7083) = 50090976