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What is the Least Common Multiple of 16884 and 16901?

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 16884 and 16901 is 285356484.

LCM(16884,16901) = 285356484

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Least Common Multiple of 16884 and 16901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16884 and 16901, than apply into the LCM equation.

GCF(16884,16901) = 1
LCM(16884,16901) = ( 16884 × 16901) / 1
LCM(16884,16901) = 285356484 / 1
LCM(16884,16901) = 285356484

Least Common Multiple (LCM) of 16884 and 16901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16884 and 16901. First we will calculate the prime factors of 16884 and 16901.

Prime Factorization of 16884

Prime factors of 16884 are 2, 3, 7, 67. Prime factorization of 16884 in exponential form is:

16884 = 22 × 32 × 71 × 671

Prime Factorization of 16901

Prime factors of 16901 are 16901. Prime factorization of 16901 in exponential form is:

16901 = 169011

Now multiplying the highest exponent prime factors to calculate the LCM of 16884 and 16901.

LCM(16884,16901) = 22 × 32 × 71 × 671 × 169011
LCM(16884,16901) = 285356484