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What is the Least Common Multiple of 29448 and 29454?

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 29448 and 29454 is 144560232.

LCM(29448,29454) = 144560232

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Least Common Multiple of 29448 and 29454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29448 and 29454, than apply into the LCM equation.

GCF(29448,29454) = 6
LCM(29448,29454) = ( 29448 × 29454) / 6
LCM(29448,29454) = 867361392 / 6
LCM(29448,29454) = 144560232

Least Common Multiple (LCM) of 29448 and 29454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29448 and 29454. First we will calculate the prime factors of 29448 and 29454.

Prime Factorization of 29448

Prime factors of 29448 are 2, 3, 409. Prime factorization of 29448 in exponential form is:

29448 = 23 × 32 × 4091

Prime Factorization of 29454

Prime factors of 29454 are 2, 3, 4909. Prime factorization of 29454 in exponential form is:

29454 = 21 × 31 × 49091

Now multiplying the highest exponent prime factors to calculate the LCM of 29448 and 29454.

LCM(29448,29454) = 23 × 32 × 4091 × 49091
LCM(29448,29454) = 144560232