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What is the Least Common Multiple of 29177 and 29197?

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 29177 and 29197 is 851880869.

LCM(29177,29197) = 851880869

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Least Common Multiple of 29177 and 29197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29177 and 29197, than apply into the LCM equation.

GCF(29177,29197) = 1
LCM(29177,29197) = ( 29177 × 29197) / 1
LCM(29177,29197) = 851880869 / 1
LCM(29177,29197) = 851880869

Least Common Multiple (LCM) of 29177 and 29197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29177 and 29197. First we will calculate the prime factors of 29177 and 29197.

Prime Factorization of 29177

Prime factors of 29177 are 163, 179. Prime factorization of 29177 in exponential form is:

29177 = 1631 × 1791

Prime Factorization of 29197

Prime factors of 29197 are 7, 43, 97. Prime factorization of 29197 in exponential form is:

29197 = 71 × 431 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 29177 and 29197.

LCM(29177,29197) = 1631 × 1791 × 71 × 431 × 971
LCM(29177,29197) = 851880869