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What is the Least Common Multiple of 10454 and 10462?

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 10454 and 10462 is 54684874.

LCM(10454,10462) = 54684874

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Least Common Multiple of 10454 and 10462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10454 and 10462, than apply into the LCM equation.

GCF(10454,10462) = 2
LCM(10454,10462) = ( 10454 × 10462) / 2
LCM(10454,10462) = 109369748 / 2
LCM(10454,10462) = 54684874

Least Common Multiple (LCM) of 10454 and 10462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10454 and 10462. First we will calculate the prime factors of 10454 and 10462.

Prime Factorization of 10454

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

10454 = 21 × 52271

Prime Factorization of 10462

Prime factors of 10462 are 2, 5231. Prime factorization of 10462 in exponential form is:

10462 = 21 × 52311

Now multiplying the highest exponent prime factors to calculate the LCM of 10454 and 10462.

LCM(10454,10462) = 21 × 52271 × 52311
LCM(10454,10462) = 54684874