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What is the Least Common Multiple of 24103 and 24107?

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 24103 and 24107 is 581051021.

LCM(24103,24107) = 581051021

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Least Common Multiple of 24103 and 24107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24103 and 24107, than apply into the LCM equation.

GCF(24103,24107) = 1
LCM(24103,24107) = ( 24103 × 24107) / 1
LCM(24103,24107) = 581051021 / 1
LCM(24103,24107) = 581051021

Least Common Multiple (LCM) of 24103 and 24107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24103 and 24107. First we will calculate the prime factors of 24103 and 24107.

Prime Factorization of 24103

Prime factors of 24103 are 24103. Prime factorization of 24103 in exponential form is:

24103 = 241031

Prime Factorization of 24107

Prime factors of 24107 are 24107. Prime factorization of 24107 in exponential form is:

24107 = 241071

Now multiplying the highest exponent prime factors to calculate the LCM of 24103 and 24107.

LCM(24103,24107) = 241031 × 241071
LCM(24103,24107) = 581051021