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What is the Least Common Multiple of 16443 and 16450?

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 16443 and 16450 is 38641050.

LCM(16443,16450) = 38641050

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Least Common Multiple of 16443 and 16450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16443 and 16450, than apply into the LCM equation.

GCF(16443,16450) = 7
LCM(16443,16450) = ( 16443 × 16450) / 7
LCM(16443,16450) = 270487350 / 7
LCM(16443,16450) = 38641050

Least Common Multiple (LCM) of 16443 and 16450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16443 and 16450. First we will calculate the prime factors of 16443 and 16450.

Prime Factorization of 16443

Prime factors of 16443 are 3, 7, 29. Prime factorization of 16443 in exponential form is:

16443 = 34 × 71 × 291

Prime Factorization of 16450

Prime factors of 16450 are 2, 5, 7, 47. Prime factorization of 16450 in exponential form is:

16450 = 21 × 52 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 16443 and 16450.

LCM(16443,16450) = 34 × 71 × 291 × 21 × 52 × 471
LCM(16443,16450) = 38641050