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What is the Least Common Multiple of 29617 and 29633?

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 29617 and 29633 is 877640561.

LCM(29617,29633) = 877640561

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Least Common Multiple of 29617 and 29633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29617 and 29633, than apply into the LCM equation.

GCF(29617,29633) = 1
LCM(29617,29633) = ( 29617 × 29633) / 1
LCM(29617,29633) = 877640561 / 1
LCM(29617,29633) = 877640561

Least Common Multiple (LCM) of 29617 and 29633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29617 and 29633. First we will calculate the prime factors of 29617 and 29633.

Prime Factorization of 29617

Prime factors of 29617 are 7, 4231. Prime factorization of 29617 in exponential form is:

29617 = 71 × 42311

Prime Factorization of 29633

Prime factors of 29633 are 29633. Prime factorization of 29633 in exponential form is:

29633 = 296331

Now multiplying the highest exponent prime factors to calculate the LCM of 29617 and 29633.

LCM(29617,29633) = 71 × 42311 × 296331
LCM(29617,29633) = 877640561