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What is the Least Common Multiple of 4072 and 4083?

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 4072 and 4083 is 16625976.

LCM(4072,4083) = 16625976

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Least Common Multiple of 4072 and 4083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4072 and 4083, than apply into the LCM equation.

GCF(4072,4083) = 1
LCM(4072,4083) = ( 4072 × 4083) / 1
LCM(4072,4083) = 16625976 / 1
LCM(4072,4083) = 16625976

Least Common Multiple (LCM) of 4072 and 4083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4072 and 4083. First we will calculate the prime factors of 4072 and 4083.

Prime Factorization of 4072

Prime factors of 4072 are 2, 509. Prime factorization of 4072 in exponential form is:

4072 = 23 × 5091

Prime Factorization of 4083

Prime factors of 4083 are 3, 1361. Prime factorization of 4083 in exponential form is:

4083 = 31 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 4072 and 4083.

LCM(4072,4083) = 23 × 5091 × 31 × 13611
LCM(4072,4083) = 16625976