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What is the Least Common Multiple of 13458 and 13474?

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 13458 and 13474 is 90666546.

LCM(13458,13474) = 90666546

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Least Common Multiple of 13458 and 13474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13458 and 13474, than apply into the LCM equation.

GCF(13458,13474) = 2
LCM(13458,13474) = ( 13458 × 13474) / 2
LCM(13458,13474) = 181333092 / 2
LCM(13458,13474) = 90666546

Least Common Multiple (LCM) of 13458 and 13474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13458 and 13474. First we will calculate the prime factors of 13458 and 13474.

Prime Factorization of 13458

Prime factors of 13458 are 2, 3, 2243. Prime factorization of 13458 in exponential form is:

13458 = 21 × 31 × 22431

Prime Factorization of 13474

Prime factors of 13474 are 2, 6737. Prime factorization of 13474 in exponential form is:

13474 = 21 × 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 13458 and 13474.

LCM(13458,13474) = 21 × 31 × 22431 × 67371
LCM(13458,13474) = 90666546