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What is the Least Common Multiple of 29735 and 29755?

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 29755 is 176952985.

LCM(29735,29755) = 176952985

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Least Common Multiple of 29735 and 29755 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 29755, than apply into the LCM equation.

GCF(29735,29755) = 5
LCM(29735,29755) = ( 29735 × 29755) / 5
LCM(29735,29755) = 884764925 / 5
LCM(29735,29755) = 176952985

Least Common Multiple (LCM) of 29735 and 29755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29735 and 29755. First we will calculate the prime factors of 29735 and 29755.

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 29755

Prime factors of 29755 are 5, 11, 541. Prime factorization of 29755 in exponential form is:

29755 = 51 × 111 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 29735 and 29755.

LCM(29735,29755) = 51 × 191 × 3131 × 111 × 5411
LCM(29735,29755) = 176952985