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What is the Least Common Multiple of 29465 and 29485?

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 29465 and 29485 is 173755105.

LCM(29465,29485) = 173755105

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Least Common Multiple of 29465 and 29485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29465 and 29485, than apply into the LCM equation.

GCF(29465,29485) = 5
LCM(29465,29485) = ( 29465 × 29485) / 5
LCM(29465,29485) = 868775525 / 5
LCM(29465,29485) = 173755105

Least Common Multiple (LCM) of 29465 and 29485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29465 and 29485. First we will calculate the prime factors of 29465 and 29485.

Prime Factorization of 29465

Prime factors of 29465 are 5, 71, 83. Prime factorization of 29465 in exponential form is:

29465 = 51 × 711 × 831

Prime Factorization of 29485

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

29485 = 51 × 58971

Now multiplying the highest exponent prime factors to calculate the LCM of 29465 and 29485.

LCM(29465,29485) = 51 × 711 × 831 × 58971
LCM(29465,29485) = 173755105