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What is the Least Common Multiple of 17650 and 17668?

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 17650 and 17668 is 155920100.

LCM(17650,17668) = 155920100

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Least Common Multiple of 17650 and 17668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17650 and 17668, than apply into the LCM equation.

GCF(17650,17668) = 2
LCM(17650,17668) = ( 17650 × 17668) / 2
LCM(17650,17668) = 311840200 / 2
LCM(17650,17668) = 155920100

Least Common Multiple (LCM) of 17650 and 17668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17650 and 17668. First we will calculate the prime factors of 17650 and 17668.

Prime Factorization of 17650

Prime factors of 17650 are 2, 5, 353. Prime factorization of 17650 in exponential form is:

17650 = 21 × 52 × 3531

Prime Factorization of 17668

Prime factors of 17668 are 2, 7, 631. Prime factorization of 17668 in exponential form is:

17668 = 22 × 71 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 17650 and 17668.

LCM(17650,17668) = 22 × 52 × 3531 × 71 × 6311
LCM(17650,17668) = 155920100