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What is the Least Common Multiple of 16473 and 16490?

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 16473 and 16490 is 15978810.

LCM(16473,16490) = 15978810

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Least Common Multiple of 16473 and 16490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16473 and 16490, than apply into the LCM equation.

GCF(16473,16490) = 17
LCM(16473,16490) = ( 16473 × 16490) / 17
LCM(16473,16490) = 271639770 / 17
LCM(16473,16490) = 15978810

Least Common Multiple (LCM) of 16473 and 16490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16473 and 16490. First we will calculate the prime factors of 16473 and 16490.

Prime Factorization of 16473

Prime factors of 16473 are 3, 17, 19. Prime factorization of 16473 in exponential form is:

16473 = 31 × 172 × 191

Prime Factorization of 16490

Prime factors of 16490 are 2, 5, 17, 97. Prime factorization of 16490 in exponential form is:

16490 = 21 × 51 × 171 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 16473 and 16490.

LCM(16473,16490) = 31 × 172 × 191 × 21 × 51 × 971
LCM(16473,16490) = 15978810