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What is the Least Common Multiple of 17150 and 17164?

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 17150 and 17164 is 21025900.

LCM(17150,17164) = 21025900

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Least Common Multiple of 17150 and 17164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17150 and 17164, than apply into the LCM equation.

GCF(17150,17164) = 14
LCM(17150,17164) = ( 17150 × 17164) / 14
LCM(17150,17164) = 294362600 / 14
LCM(17150,17164) = 21025900

Least Common Multiple (LCM) of 17150 and 17164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17150 and 17164. First we will calculate the prime factors of 17150 and 17164.

Prime Factorization of 17150

Prime factors of 17150 are 2, 5, 7. Prime factorization of 17150 in exponential form is:

17150 = 21 × 52 × 73

Prime Factorization of 17164

Prime factors of 17164 are 2, 7, 613. Prime factorization of 17164 in exponential form is:

17164 = 22 × 71 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 17150 and 17164.

LCM(17150,17164) = 22 × 52 × 73 × 6131
LCM(17150,17164) = 21025900