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What is the Least Common Multiple of 29137 and 29153?

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 29137 and 29153 is 849430961.

LCM(29137,29153) = 849430961

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Least Common Multiple of 29137 and 29153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29137 and 29153, than apply into the LCM equation.

GCF(29137,29153) = 1
LCM(29137,29153) = ( 29137 × 29153) / 1
LCM(29137,29153) = 849430961 / 1
LCM(29137,29153) = 849430961

Least Common Multiple (LCM) of 29137 and 29153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29137 and 29153. First we will calculate the prime factors of 29137 and 29153.

Prime Factorization of 29137

Prime factors of 29137 are 29137. Prime factorization of 29137 in exponential form is:

29137 = 291371

Prime Factorization of 29153

Prime factors of 29153 are 29153. Prime factorization of 29153 in exponential form is:

29153 = 291531

Now multiplying the highest exponent prime factors to calculate the LCM of 29137 and 29153.

LCM(29137,29153) = 291371 × 291531
LCM(29137,29153) = 849430961