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What is the Least Common Multiple of 10429 and 10436?

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 10429 and 10436 is 108837044.

LCM(10429,10436) = 108837044

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Least Common Multiple of 10429 and 10436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10429 and 10436, than apply into the LCM equation.

GCF(10429,10436) = 1
LCM(10429,10436) = ( 10429 × 10436) / 1
LCM(10429,10436) = 108837044 / 1
LCM(10429,10436) = 108837044

Least Common Multiple (LCM) of 10429 and 10436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10429 and 10436. First we will calculate the prime factors of 10429 and 10436.

Prime Factorization of 10429

Prime factors of 10429 are 10429. Prime factorization of 10429 in exponential form is:

10429 = 104291

Prime Factorization of 10436

Prime factors of 10436 are 2, 2609. Prime factorization of 10436 in exponential form is:

10436 = 22 × 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 10429 and 10436.

LCM(10429,10436) = 104291 × 22 × 26091
LCM(10429,10436) = 108837044