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What is the Least Common Multiple of 16940 and 16953?

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 16940 and 16953 is 287183820.

LCM(16940,16953) = 287183820

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Least Common Multiple of 16940 and 16953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16940 and 16953, than apply into the LCM equation.

GCF(16940,16953) = 1
LCM(16940,16953) = ( 16940 × 16953) / 1
LCM(16940,16953) = 287183820 / 1
LCM(16940,16953) = 287183820

Least Common Multiple (LCM) of 16940 and 16953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16940 and 16953. First we will calculate the prime factors of 16940 and 16953.

Prime Factorization of 16940

Prime factors of 16940 are 2, 5, 7, 11. Prime factorization of 16940 in exponential form is:

16940 = 22 × 51 × 71 × 112

Prime Factorization of 16953

Prime factors of 16953 are 3, 5651. Prime factorization of 16953 in exponential form is:

16953 = 31 × 56511

Now multiplying the highest exponent prime factors to calculate the LCM of 16940 and 16953.

LCM(16940,16953) = 22 × 51 × 71 × 112 × 31 × 56511
LCM(16940,16953) = 287183820