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What is the Least Common Multiple of 5458 and 5470?

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 5458 and 5470 is 14927630.

LCM(5458,5470) = 14927630

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Least Common Multiple of 5458 and 5470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5458 and 5470, than apply into the LCM equation.

GCF(5458,5470) = 2
LCM(5458,5470) = ( 5458 × 5470) / 2
LCM(5458,5470) = 29855260 / 2
LCM(5458,5470) = 14927630

Least Common Multiple (LCM) of 5458 and 5470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5458 and 5470. First we will calculate the prime factors of 5458 and 5470.

Prime Factorization of 5458

Prime factors of 5458 are 2, 2729. Prime factorization of 5458 in exponential form is:

5458 = 21 × 27291

Prime Factorization of 5470

Prime factors of 5470 are 2, 5, 547. Prime factorization of 5470 in exponential form is:

5470 = 21 × 51 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 5458 and 5470.

LCM(5458,5470) = 21 × 27291 × 51 × 5471
LCM(5458,5470) = 14927630