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What is the Least Common Multiple of 29515 and 29534?

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 29515 and 29534 is 871696010.

LCM(29515,29534) = 871696010

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Least Common Multiple of 29515 and 29534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29515 and 29534, than apply into the LCM equation.

GCF(29515,29534) = 1
LCM(29515,29534) = ( 29515 × 29534) / 1
LCM(29515,29534) = 871696010 / 1
LCM(29515,29534) = 871696010

Least Common Multiple (LCM) of 29515 and 29534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29515 and 29534. First we will calculate the prime factors of 29515 and 29534.

Prime Factorization of 29515

Prime factors of 29515 are 5, 5903. Prime factorization of 29515 in exponential form is:

29515 = 51 × 59031

Prime Factorization of 29534

Prime factors of 29534 are 2, 14767. Prime factorization of 29534 in exponential form is:

29534 = 21 × 147671

Now multiplying the highest exponent prime factors to calculate the LCM of 29515 and 29534.

LCM(29515,29534) = 51 × 59031 × 21 × 147671
LCM(29515,29534) = 871696010