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What is the Least Common Multiple of 16604 and 16611?

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 16604 and 16611 is 39401292.

LCM(16604,16611) = 39401292

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Least Common Multiple of 16604 and 16611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16604 and 16611, than apply into the LCM equation.

GCF(16604,16611) = 7
LCM(16604,16611) = ( 16604 × 16611) / 7
LCM(16604,16611) = 275809044 / 7
LCM(16604,16611) = 39401292

Least Common Multiple (LCM) of 16604 and 16611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16604 and 16611. First we will calculate the prime factors of 16604 and 16611.

Prime Factorization of 16604

Prime factors of 16604 are 2, 7, 593. Prime factorization of 16604 in exponential form is:

16604 = 22 × 71 × 5931

Prime Factorization of 16611

Prime factors of 16611 are 3, 7, 113. Prime factorization of 16611 in exponential form is:

16611 = 31 × 72 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 16604 and 16611.

LCM(16604,16611) = 22 × 72 × 5931 × 31 × 1131
LCM(16604,16611) = 39401292