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What is the Least Common Multiple of 16103 and 16108?

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 16103 and 16108 is 259387124.

LCM(16103,16108) = 259387124

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Least Common Multiple of 16103 and 16108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16103 and 16108, than apply into the LCM equation.

GCF(16103,16108) = 1
LCM(16103,16108) = ( 16103 × 16108) / 1
LCM(16103,16108) = 259387124 / 1
LCM(16103,16108) = 259387124

Least Common Multiple (LCM) of 16103 and 16108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16103 and 16108. First we will calculate the prime factors of 16103 and 16108.

Prime Factorization of 16103

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

16103 = 161031

Prime Factorization of 16108

Prime factors of 16108 are 2, 4027. Prime factorization of 16108 in exponential form is:

16108 = 22 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 16103 and 16108.

LCM(16103,16108) = 161031 × 22 × 40271
LCM(16103,16108) = 259387124