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What is the Least Common Multiple of 29485 and 29503?

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 29485 and 29503 is 869895955.

LCM(29485,29503) = 869895955

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Least Common Multiple of 29485 and 29503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29485 and 29503, than apply into the LCM equation.

GCF(29485,29503) = 1
LCM(29485,29503) = ( 29485 × 29503) / 1
LCM(29485,29503) = 869895955 / 1
LCM(29485,29503) = 869895955

Least Common Multiple (LCM) of 29485 and 29503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29485 and 29503. First we will calculate the prime factors of 29485 and 29503.

Prime Factorization of 29485

Prime factors of 29485 are 5, 5897. Prime factorization of 29485 in exponential form is:

29485 = 51 × 58971

Prime Factorization of 29503

Prime factors of 29503 are 163, 181. Prime factorization of 29503 in exponential form is:

29503 = 1631 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 29485 and 29503.

LCM(29485,29503) = 51 × 58971 × 1631 × 1811
LCM(29485,29503) = 869895955