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What is the Least Common Multiple of 16483 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 16483 and 16490 is 271804670.

LCM(16483,16490) = 271804670

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Least Common Multiple of 16483 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 16483 and 16490, than apply into the LCM equation.

GCF(16483,16490) = 1
LCM(16483,16490) = ( 16483 × 16490) / 1
LCM(16483,16490) = 271804670 / 1
LCM(16483,16490) = 271804670

Least Common Multiple (LCM) of 16483 and 16490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16483 and 16490. First we will calculate the prime factors of 16483 and 16490.

Prime Factorization of 16483

Prime factors of 16483 are 53, 311. Prime factorization of 16483 in exponential form is:

16483 = 531 × 3111

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 16483 and 16490.

LCM(16483,16490) = 531 × 3111 × 21 × 51 × 171 × 971
LCM(16483,16490) = 271804670