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What is the Least Common Multiple of 29504 and 29520?

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 29504 and 29520 is 54434880.

LCM(29504,29520) = 54434880

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Least Common Multiple of 29504 and 29520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29504 and 29520, than apply into the LCM equation.

GCF(29504,29520) = 16
LCM(29504,29520) = ( 29504 × 29520) / 16
LCM(29504,29520) = 870958080 / 16
LCM(29504,29520) = 54434880

Least Common Multiple (LCM) of 29504 and 29520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29504 and 29520. First we will calculate the prime factors of 29504 and 29520.

Prime Factorization of 29504

Prime factors of 29504 are 2, 461. Prime factorization of 29504 in exponential form is:

29504 = 26 × 4611

Prime Factorization of 29520

Prime factors of 29520 are 2, 3, 5, 41. Prime factorization of 29520 in exponential form is:

29520 = 24 × 32 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 29504 and 29520.

LCM(29504,29520) = 26 × 4611 × 32 × 51 × 411
LCM(29504,29520) = 54434880