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What is the Least Common Multiple of 16678 and 16685?

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 16678 and 16685 is 278272430.

LCM(16678,16685) = 278272430

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Least Common Multiple of 16678 and 16685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16678 and 16685, than apply into the LCM equation.

GCF(16678,16685) = 1
LCM(16678,16685) = ( 16678 × 16685) / 1
LCM(16678,16685) = 278272430 / 1
LCM(16678,16685) = 278272430

Least Common Multiple (LCM) of 16678 and 16685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16678 and 16685. First we will calculate the prime factors of 16678 and 16685.

Prime Factorization of 16678

Prime factors of 16678 are 2, 31, 269. Prime factorization of 16678 in exponential form is:

16678 = 21 × 311 × 2691

Prime Factorization of 16685

Prime factors of 16685 are 5, 47, 71. Prime factorization of 16685 in exponential form is:

16685 = 51 × 471 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 16678 and 16685.

LCM(16678,16685) = 21 × 311 × 2691 × 51 × 471 × 711
LCM(16678,16685) = 278272430