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What is the Least Common Multiple of 9593 and 9607?

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 9593 and 9607 is 92159951.

LCM(9593,9607) = 92159951

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Least Common Multiple of 9593 and 9607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9593 and 9607, than apply into the LCM equation.

GCF(9593,9607) = 1
LCM(9593,9607) = ( 9593 × 9607) / 1
LCM(9593,9607) = 92159951 / 1
LCM(9593,9607) = 92159951

Least Common Multiple (LCM) of 9593 and 9607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9593 and 9607. First we will calculate the prime factors of 9593 and 9607.

Prime Factorization of 9593

Prime factors of 9593 are 53, 181. Prime factorization of 9593 in exponential form is:

9593 = 531 × 1811

Prime Factorization of 9607

Prime factors of 9607 are 13, 739. Prime factorization of 9607 in exponential form is:

9607 = 131 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 9593 and 9607.

LCM(9593,9607) = 531 × 1811 × 131 × 7391
LCM(9593,9607) = 92159951