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What is the Least Common Multiple of 13434 and 13453?

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 13434 and 13453 is 180727602.

LCM(13434,13453) = 180727602

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Least Common Multiple of 13434 and 13453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13434 and 13453, than apply into the LCM equation.

GCF(13434,13453) = 1
LCM(13434,13453) = ( 13434 × 13453) / 1
LCM(13434,13453) = 180727602 / 1
LCM(13434,13453) = 180727602

Least Common Multiple (LCM) of 13434 and 13453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13434 and 13453. First we will calculate the prime factors of 13434 and 13453.

Prime Factorization of 13434

Prime factors of 13434 are 2, 3, 2239. Prime factorization of 13434 in exponential form is:

13434 = 21 × 31 × 22391

Prime Factorization of 13453

Prime factors of 13453 are 11, 1223. Prime factorization of 13453 in exponential form is:

13453 = 111 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 13434 and 13453.

LCM(13434,13453) = 21 × 31 × 22391 × 111 × 12231
LCM(13434,13453) = 180727602