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What is the Least Common Multiple of 17622 and 17631?

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 17631 is 34521498.

LCM(17622,17631) = 34521498

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Least Common Multiple of 17622 and 17631 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 17631, than apply into the LCM equation.

GCF(17622,17631) = 9
LCM(17622,17631) = ( 17622 × 17631) / 9
LCM(17622,17631) = 310693482 / 9
LCM(17622,17631) = 34521498

Least Common Multiple (LCM) of 17622 and 17631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17622 and 17631. First we will calculate the prime factors of 17622 and 17631.

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 17631

Prime factors of 17631 are 3, 653. Prime factorization of 17631 in exponential form is:

17631 = 33 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 17622 and 17631.

LCM(17622,17631) = 21 × 33 × 111 × 891 × 6531
LCM(17622,17631) = 34521498