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What is the Least Common Multiple of 16590 and 16604?

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 16590 and 16604 is 19675740.

LCM(16590,16604) = 19675740

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Least Common Multiple of 16590 and 16604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16590 and 16604, than apply into the LCM equation.

GCF(16590,16604) = 14
LCM(16590,16604) = ( 16590 × 16604) / 14
LCM(16590,16604) = 275460360 / 14
LCM(16590,16604) = 19675740

Least Common Multiple (LCM) of 16590 and 16604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16590 and 16604. First we will calculate the prime factors of 16590 and 16604.

Prime Factorization of 16590

Prime factors of 16590 are 2, 3, 5, 7, 79. Prime factorization of 16590 in exponential form is:

16590 = 21 × 31 × 51 × 71 × 791

Prime Factorization of 16604

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

16604 = 22 × 71 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 16590 and 16604.

LCM(16590,16604) = 22 × 31 × 51 × 71 × 791 × 5931
LCM(16590,16604) = 19675740