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What is the Least Common Multiple of 16594 and 16610?

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 16594 and 16610 is 137813170.

LCM(16594,16610) = 137813170

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Least Common Multiple of 16594 and 16610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16594 and 16610, than apply into the LCM equation.

GCF(16594,16610) = 2
LCM(16594,16610) = ( 16594 × 16610) / 2
LCM(16594,16610) = 275626340 / 2
LCM(16594,16610) = 137813170

Least Common Multiple (LCM) of 16594 and 16610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16594 and 16610. First we will calculate the prime factors of 16594 and 16610.

Prime Factorization of 16594

Prime factors of 16594 are 2, 8297. Prime factorization of 16594 in exponential form is:

16594 = 21 × 82971

Prime Factorization of 16610

Prime factors of 16610 are 2, 5, 11, 151. Prime factorization of 16610 in exponential form is:

16610 = 21 × 51 × 111 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 16594 and 16610.

LCM(16594,16610) = 21 × 82971 × 51 × 111 × 1511
LCM(16594,16610) = 137813170