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What is the Least Common Multiple of 15346 and 15354?

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 15346 and 15354 is 117811242.

LCM(15346,15354) = 117811242

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Least Common Multiple of 15346 and 15354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15346 and 15354, than apply into the LCM equation.

GCF(15346,15354) = 2
LCM(15346,15354) = ( 15346 × 15354) / 2
LCM(15346,15354) = 235622484 / 2
LCM(15346,15354) = 117811242

Least Common Multiple (LCM) of 15346 and 15354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15346 and 15354. First we will calculate the prime factors of 15346 and 15354.

Prime Factorization of 15346

Prime factors of 15346 are 2, 7673. Prime factorization of 15346 in exponential form is:

15346 = 21 × 76731

Prime Factorization of 15354

Prime factors of 15354 are 2, 3, 853. Prime factorization of 15354 in exponential form is:

15354 = 21 × 32 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 15346 and 15354.

LCM(15346,15354) = 21 × 76731 × 32 × 8531
LCM(15346,15354) = 117811242