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What is the Least Common Multiple of 13462 and 13469?

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 13462 and 13469 is 181319678.

LCM(13462,13469) = 181319678

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Least Common Multiple of 13462 and 13469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13462 and 13469, than apply into the LCM equation.

GCF(13462,13469) = 1
LCM(13462,13469) = ( 13462 × 13469) / 1
LCM(13462,13469) = 181319678 / 1
LCM(13462,13469) = 181319678

Least Common Multiple (LCM) of 13462 and 13469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13462 and 13469. First we will calculate the prime factors of 13462 and 13469.

Prime Factorization of 13462

Prime factors of 13462 are 2, 53, 127. Prime factorization of 13462 in exponential form is:

13462 = 21 × 531 × 1271

Prime Factorization of 13469

Prime factors of 13469 are 13469. Prime factorization of 13469 in exponential form is:

13469 = 134691

Now multiplying the highest exponent prime factors to calculate the LCM of 13462 and 13469.

LCM(13462,13469) = 21 × 531 × 1271 × 134691
LCM(13462,13469) = 181319678