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What is the Least Common Multiple of 10435 and 10454?

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 10435 and 10454 is 109087490.

LCM(10435,10454) = 109087490

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Least Common Multiple of 10435 and 10454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10435 and 10454, than apply into the LCM equation.

GCF(10435,10454) = 1
LCM(10435,10454) = ( 10435 × 10454) / 1
LCM(10435,10454) = 109087490 / 1
LCM(10435,10454) = 109087490

Least Common Multiple (LCM) of 10435 and 10454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10435 and 10454. First we will calculate the prime factors of 10435 and 10454.

Prime Factorization of 10435

Prime factors of 10435 are 5, 2087. Prime factorization of 10435 in exponential form is:

10435 = 51 × 20871

Prime Factorization of 10454

Prime factors of 10454 are 2, 5227. Prime factorization of 10454 in exponential form is:

10454 = 21 × 52271

Now multiplying the highest exponent prime factors to calculate the LCM of 10435 and 10454.

LCM(10435,10454) = 51 × 20871 × 21 × 52271
LCM(10435,10454) = 109087490