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What is the Least Common Multiple of 7598 and 7603?

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 7598 and 7603 is 57767594.

LCM(7598,7603) = 57767594

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Least Common Multiple of 7598 and 7603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7598 and 7603, than apply into the LCM equation.

GCF(7598,7603) = 1
LCM(7598,7603) = ( 7598 × 7603) / 1
LCM(7598,7603) = 57767594 / 1
LCM(7598,7603) = 57767594

Least Common Multiple (LCM) of 7598 and 7603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7598 and 7603. First we will calculate the prime factors of 7598 and 7603.

Prime Factorization of 7598

Prime factors of 7598 are 2, 29, 131. Prime factorization of 7598 in exponential form is:

7598 = 21 × 291 × 1311

Prime Factorization of 7603

Prime factors of 7603 are 7603. Prime factorization of 7603 in exponential form is:

7603 = 76031

Now multiplying the highest exponent prime factors to calculate the LCM of 7598 and 7603.

LCM(7598,7603) = 21 × 291 × 1311 × 76031
LCM(7598,7603) = 57767594