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What is the Least Common Multiple of 7241 and 7259?

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 7241 and 7259 is 52562419.

LCM(7241,7259) = 52562419

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Least Common Multiple of 7241 and 7259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7241 and 7259, than apply into the LCM equation.

GCF(7241,7259) = 1
LCM(7241,7259) = ( 7241 × 7259) / 1
LCM(7241,7259) = 52562419 / 1
LCM(7241,7259) = 52562419

Least Common Multiple (LCM) of 7241 and 7259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7241 and 7259. First we will calculate the prime factors of 7241 and 7259.

Prime Factorization of 7241

Prime factors of 7241 are 13, 557. Prime factorization of 7241 in exponential form is:

7241 = 131 × 5571

Prime Factorization of 7259

Prime factors of 7259 are 7, 17, 61. Prime factorization of 7259 in exponential form is:

7259 = 71 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 7241 and 7259.

LCM(7241,7259) = 131 × 5571 × 71 × 171 × 611
LCM(7241,7259) = 52562419