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What is the Least Common Multiple of 16602 and 16615?

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 16602 and 16615 is 275842230.

LCM(16602,16615) = 275842230

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Least Common Multiple of 16602 and 16615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16602 and 16615, than apply into the LCM equation.

GCF(16602,16615) = 1
LCM(16602,16615) = ( 16602 × 16615) / 1
LCM(16602,16615) = 275842230 / 1
LCM(16602,16615) = 275842230

Least Common Multiple (LCM) of 16602 and 16615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16602 and 16615. First we will calculate the prime factors of 16602 and 16615.

Prime Factorization of 16602

Prime factors of 16602 are 2, 3, 2767. Prime factorization of 16602 in exponential form is:

16602 = 21 × 31 × 27671

Prime Factorization of 16615

Prime factors of 16615 are 5, 3323. Prime factorization of 16615 in exponential form is:

16615 = 51 × 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 16602 and 16615.

LCM(16602,16615) = 21 × 31 × 27671 × 51 × 33231
LCM(16602,16615) = 275842230