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What is the Least Common Multiple of 17616 and 17634?

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 17616 and 17634 is 51773424.

LCM(17616,17634) = 51773424

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Least Common Multiple of 17616 and 17634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17616 and 17634, than apply into the LCM equation.

GCF(17616,17634) = 6
LCM(17616,17634) = ( 17616 × 17634) / 6
LCM(17616,17634) = 310640544 / 6
LCM(17616,17634) = 51773424

Least Common Multiple (LCM) of 17616 and 17634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17616 and 17634. First we will calculate the prime factors of 17616 and 17634.

Prime Factorization of 17616

Prime factors of 17616 are 2, 3, 367. Prime factorization of 17616 in exponential form is:

17616 = 24 × 31 × 3671

Prime Factorization of 17634

Prime factors of 17634 are 2, 3, 2939. Prime factorization of 17634 in exponential form is:

17634 = 21 × 31 × 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 17616 and 17634.

LCM(17616,17634) = 24 × 31 × 3671 × 29391
LCM(17616,17634) = 51773424