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What is the Least Common Multiple of 1606 and 1611?

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 1606 and 1611 is 2587266.

LCM(1606,1611) = 2587266

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Least Common Multiple of 1606 and 1611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1606 and 1611, than apply into the LCM equation.

GCF(1606,1611) = 1
LCM(1606,1611) = ( 1606 × 1611) / 1
LCM(1606,1611) = 2587266 / 1
LCM(1606,1611) = 2587266

Least Common Multiple (LCM) of 1606 and 1611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1606 and 1611. First we will calculate the prime factors of 1606 and 1611.

Prime Factorization of 1606

Prime factors of 1606 are 2, 11, 73. Prime factorization of 1606 in exponential form is:

1606 = 21 × 111 × 731

Prime Factorization of 1611

Prime factors of 1611 are 3, 179. Prime factorization of 1611 in exponential form is:

1611 = 32 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1606 and 1611.

LCM(1606,1611) = 21 × 111 × 731 × 32 × 1791
LCM(1606,1611) = 2587266