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What is the Least Common Multiple of 29892 and 29904?

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 29892 and 29904 is 74490864.

LCM(29892,29904) = 74490864

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Least Common Multiple of 29892 and 29904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29892 and 29904, than apply into the LCM equation.

GCF(29892,29904) = 12
LCM(29892,29904) = ( 29892 × 29904) / 12
LCM(29892,29904) = 893890368 / 12
LCM(29892,29904) = 74490864

Least Common Multiple (LCM) of 29892 and 29904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29892 and 29904. First we will calculate the prime factors of 29892 and 29904.

Prime Factorization of 29892

Prime factors of 29892 are 2, 3, 47, 53. Prime factorization of 29892 in exponential form is:

29892 = 22 × 31 × 471 × 531

Prime Factorization of 29904

Prime factors of 29904 are 2, 3, 7, 89. Prime factorization of 29904 in exponential form is:

29904 = 24 × 31 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 29892 and 29904.

LCM(29892,29904) = 24 × 31 × 471 × 531 × 71 × 891
LCM(29892,29904) = 74490864