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What is the Least Common Multiple of 9603 and 9614?

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 9603 and 9614 is 8393022.

LCM(9603,9614) = 8393022

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Least Common Multiple of 9603 and 9614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9603 and 9614, than apply into the LCM equation.

GCF(9603,9614) = 11
LCM(9603,9614) = ( 9603 × 9614) / 11
LCM(9603,9614) = 92323242 / 11
LCM(9603,9614) = 8393022

Least Common Multiple (LCM) of 9603 and 9614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9603 and 9614. First we will calculate the prime factors of 9603 and 9614.

Prime Factorization of 9603

Prime factors of 9603 are 3, 11, 97. Prime factorization of 9603 in exponential form is:

9603 = 32 × 111 × 971

Prime Factorization of 9614

Prime factors of 9614 are 2, 11, 19, 23. Prime factorization of 9614 in exponential form is:

9614 = 21 × 111 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 9603 and 9614.

LCM(9603,9614) = 32 × 111 × 971 × 21 × 191 × 231
LCM(9603,9614) = 8393022