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What is the Least Common Multiple of 16478 and 16497?

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 16478 and 16497 is 271837566.

LCM(16478,16497) = 271837566

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Least Common Multiple of 16478 and 16497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16478 and 16497, than apply into the LCM equation.

GCF(16478,16497) = 1
LCM(16478,16497) = ( 16478 × 16497) / 1
LCM(16478,16497) = 271837566 / 1
LCM(16478,16497) = 271837566

Least Common Multiple (LCM) of 16478 and 16497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16478 and 16497. First we will calculate the prime factors of 16478 and 16497.

Prime Factorization of 16478

Prime factors of 16478 are 2, 7, 11, 107. Prime factorization of 16478 in exponential form is:

16478 = 21 × 71 × 111 × 1071

Prime Factorization of 16497

Prime factors of 16497 are 3, 13, 47. Prime factorization of 16497 in exponential form is:

16497 = 33 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 16478 and 16497.

LCM(16478,16497) = 21 × 71 × 111 × 1071 × 33 × 131 × 471
LCM(16478,16497) = 271837566