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What is the Least Common Multiple of 16398 and 16410?

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 16398 and 16410 is 44848530.

LCM(16398,16410) = 44848530

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Least Common Multiple of 16398 and 16410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16398 and 16410, than apply into the LCM equation.

GCF(16398,16410) = 6
LCM(16398,16410) = ( 16398 × 16410) / 6
LCM(16398,16410) = 269091180 / 6
LCM(16398,16410) = 44848530

Least Common Multiple (LCM) of 16398 and 16410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16398 and 16410. First we will calculate the prime factors of 16398 and 16410.

Prime Factorization of 16398

Prime factors of 16398 are 2, 3, 911. Prime factorization of 16398 in exponential form is:

16398 = 21 × 32 × 9111

Prime Factorization of 16410

Prime factors of 16410 are 2, 3, 5, 547. Prime factorization of 16410 in exponential form is:

16410 = 21 × 31 × 51 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 16398 and 16410.

LCM(16398,16410) = 21 × 32 × 9111 × 51 × 5471
LCM(16398,16410) = 44848530