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What is the Least Common Multiple of 16642 and 16649?

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 16642 and 16649 is 277072658.

LCM(16642,16649) = 277072658

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Least Common Multiple of 16642 and 16649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16642 and 16649, than apply into the LCM equation.

GCF(16642,16649) = 1
LCM(16642,16649) = ( 16642 × 16649) / 1
LCM(16642,16649) = 277072658 / 1
LCM(16642,16649) = 277072658

Least Common Multiple (LCM) of 16642 and 16649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16642 and 16649. First we will calculate the prime factors of 16642 and 16649.

Prime Factorization of 16642

Prime factors of 16642 are 2, 53, 157. Prime factorization of 16642 in exponential form is:

16642 = 21 × 531 × 1571

Prime Factorization of 16649

Prime factors of 16649 are 16649. Prime factorization of 16649 in exponential form is:

16649 = 166491

Now multiplying the highest exponent prime factors to calculate the LCM of 16642 and 16649.

LCM(16642,16649) = 21 × 531 × 1571 × 166491
LCM(16642,16649) = 277072658