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What is the Least Common Multiple of 17622 and 17629?

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 17622 and 17629 is 310658238.

LCM(17622,17629) = 310658238

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Least Common Multiple of 17622 and 17629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17622 and 17629, than apply into the LCM equation.

GCF(17622,17629) = 1
LCM(17622,17629) = ( 17622 × 17629) / 1
LCM(17622,17629) = 310658238 / 1
LCM(17622,17629) = 310658238

Least Common Multiple (LCM) of 17622 and 17629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17622 and 17629. First we will calculate the prime factors of 17622 and 17629.

Prime Factorization of 17622

Prime factors of 17622 are 2, 3, 11, 89. Prime factorization of 17622 in exponential form is:

17622 = 21 × 32 × 111 × 891

Prime Factorization of 17629

Prime factors of 17629 are 17, 61. Prime factorization of 17629 in exponential form is:

17629 = 172 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 17622 and 17629.

LCM(17622,17629) = 21 × 32 × 111 × 891 × 172 × 611
LCM(17622,17629) = 310658238