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What is the Least Common Multiple of 6066 and 6072?

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 6066 and 6072 is 6138792.

LCM(6066,6072) = 6138792

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Least Common Multiple of 6066 and 6072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6066 and 6072, than apply into the LCM equation.

GCF(6066,6072) = 6
LCM(6066,6072) = ( 6066 × 6072) / 6
LCM(6066,6072) = 36832752 / 6
LCM(6066,6072) = 6138792

Least Common Multiple (LCM) of 6066 and 6072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6066 and 6072. First we will calculate the prime factors of 6066 and 6072.

Prime Factorization of 6066

Prime factors of 6066 are 2, 3, 337. Prime factorization of 6066 in exponential form is:

6066 = 21 × 32 × 3371

Prime Factorization of 6072

Prime factors of 6072 are 2, 3, 11, 23. Prime factorization of 6072 in exponential form is:

6072 = 23 × 31 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 6066 and 6072.

LCM(6066,6072) = 23 × 32 × 3371 × 111 × 231
LCM(6066,6072) = 6138792