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What is the Least Common Multiple of 29735 and 29745?

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 29735 and 29745 is 176893515.

LCM(29735,29745) = 176893515

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Least Common Multiple of 29735 and 29745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29735 and 29745, than apply into the LCM equation.

GCF(29735,29745) = 5
LCM(29735,29745) = ( 29735 × 29745) / 5
LCM(29735,29745) = 884467575 / 5
LCM(29735,29745) = 176893515

Least Common Multiple (LCM) of 29735 and 29745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29735 and 29745. First we will calculate the prime factors of 29735 and 29745.

Prime Factorization of 29735

Prime factors of 29735 are 5, 19, 313. Prime factorization of 29735 in exponential form is:

29735 = 51 × 191 × 3131

Prime Factorization of 29745

Prime factors of 29745 are 3, 5, 661. Prime factorization of 29745 in exponential form is:

29745 = 32 × 51 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 29735 and 29745.

LCM(29735,29745) = 51 × 191 × 3131 × 32 × 6611
LCM(29735,29745) = 176893515