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What is the Least Common Multiple of 16090 and 16103?

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 16090 and 16103 is 259097270.

LCM(16090,16103) = 259097270

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Least Common Multiple of 16090 and 16103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16090 and 16103, than apply into the LCM equation.

GCF(16090,16103) = 1
LCM(16090,16103) = ( 16090 × 16103) / 1
LCM(16090,16103) = 259097270 / 1
LCM(16090,16103) = 259097270

Least Common Multiple (LCM) of 16090 and 16103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16090 and 16103. First we will calculate the prime factors of 16090 and 16103.

Prime Factorization of 16090

Prime factors of 16090 are 2, 5, 1609. Prime factorization of 16090 in exponential form is:

16090 = 21 × 51 × 16091

Prime Factorization of 16103

Prime factors of 16103 are 16103. Prime factorization of 16103 in exponential form is:

16103 = 161031

Now multiplying the highest exponent prime factors to calculate the LCM of 16090 and 16103.

LCM(16090,16103) = 21 × 51 × 16091 × 161031
LCM(16090,16103) = 259097270