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What is the Least Common Multiple of 28103 and 28110?

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 28103 and 28110 is 789975330.

LCM(28103,28110) = 789975330

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Least Common Multiple of 28103 and 28110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28103 and 28110, than apply into the LCM equation.

GCF(28103,28110) = 1
LCM(28103,28110) = ( 28103 × 28110) / 1
LCM(28103,28110) = 789975330 / 1
LCM(28103,28110) = 789975330

Least Common Multiple (LCM) of 28103 and 28110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28103 and 28110. First we will calculate the prime factors of 28103 and 28110.

Prime Factorization of 28103

Prime factors of 28103 are 157, 179. Prime factorization of 28103 in exponential form is:

28103 = 1571 × 1791

Prime Factorization of 28110

Prime factors of 28110 are 2, 3, 5, 937. Prime factorization of 28110 in exponential form is:

28110 = 21 × 31 × 51 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 28103 and 28110.

LCM(28103,28110) = 1571 × 1791 × 21 × 31 × 51 × 9371
LCM(28103,28110) = 789975330