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What is the Least Common Multiple of 7241 and 7251?

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 7251 is 52504491.

LCM(7241,7251) = 52504491

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Least Common Multiple of 7241 and 7251 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 7251, than apply into the LCM equation.

GCF(7241,7251) = 1
LCM(7241,7251) = ( 7241 × 7251) / 1
LCM(7241,7251) = 52504491 / 1
LCM(7241,7251) = 52504491

Least Common Multiple (LCM) of 7241 and 7251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7241 and 7251. First we will calculate the prime factors of 7241 and 7251.

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 7251

Prime factors of 7251 are 3, 2417. Prime factorization of 7251 in exponential form is:

7251 = 31 × 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 7241 and 7251.

LCM(7241,7251) = 131 × 5571 × 31 × 24171
LCM(7241,7251) = 52504491