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What is the Least Common Multiple of 10430 and 10439?

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 10430 and 10439 is 108878770.

LCM(10430,10439) = 108878770

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Least Common Multiple of 10430 and 10439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10430 and 10439, than apply into the LCM equation.

GCF(10430,10439) = 1
LCM(10430,10439) = ( 10430 × 10439) / 1
LCM(10430,10439) = 108878770 / 1
LCM(10430,10439) = 108878770

Least Common Multiple (LCM) of 10430 and 10439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10430 and 10439. First we will calculate the prime factors of 10430 and 10439.

Prime Factorization of 10430

Prime factors of 10430 are 2, 5, 7, 149. Prime factorization of 10430 in exponential form is:

10430 = 21 × 51 × 71 × 1491

Prime Factorization of 10439

Prime factors of 10439 are 11, 13, 73. Prime factorization of 10439 in exponential form is:

10439 = 111 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 10430 and 10439.

LCM(10430,10439) = 21 × 51 × 71 × 1491 × 111 × 131 × 731
LCM(10430,10439) = 108878770