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What is the Least Common Multiple of 5452 and 5462?

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 5452 and 5462 is 14889412.

LCM(5452,5462) = 14889412

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Least Common Multiple of 5452 and 5462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5452 and 5462, than apply into the LCM equation.

GCF(5452,5462) = 2
LCM(5452,5462) = ( 5452 × 5462) / 2
LCM(5452,5462) = 29778824 / 2
LCM(5452,5462) = 14889412

Least Common Multiple (LCM) of 5452 and 5462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5452 and 5462. First we will calculate the prime factors of 5452 and 5462.

Prime Factorization of 5452

Prime factors of 5452 are 2, 29, 47. Prime factorization of 5452 in exponential form is:

5452 = 22 × 291 × 471

Prime Factorization of 5462

Prime factors of 5462 are 2, 2731. Prime factorization of 5462 in exponential form is:

5462 = 21 × 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 5452 and 5462.

LCM(5452,5462) = 22 × 291 × 471 × 27311
LCM(5452,5462) = 14889412