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What is the Least Common Multiple of 97630 and 97636?

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 97630 and 97636 is 4766101340.

LCM(97630,97636) = 4766101340

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Least Common Multiple of 97630 and 97636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97630 and 97636, than apply into the LCM equation.

GCF(97630,97636) = 2
LCM(97630,97636) = ( 97630 × 97636) / 2
LCM(97630,97636) = 9532202680 / 2
LCM(97630,97636) = 4766101340

Least Common Multiple (LCM) of 97630 and 97636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97630 and 97636. First we will calculate the prime factors of 97630 and 97636.

Prime Factorization of 97630

Prime factors of 97630 are 2, 5, 13, 751. Prime factorization of 97630 in exponential form is:

97630 = 21 × 51 × 131 × 7511

Prime Factorization of 97636

Prime factors of 97636 are 2, 7, 11, 317. Prime factorization of 97636 in exponential form is:

97636 = 22 × 71 × 111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 97630 and 97636.

LCM(97630,97636) = 22 × 51 × 131 × 7511 × 71 × 111 × 3171
LCM(97630,97636) = 4766101340