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What is the Least Common Multiple of 7241 and 7254?

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 7254 is 4040478.

LCM(7241,7254) = 4040478

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Least Common Multiple of 7241 and 7254 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 7254, than apply into the LCM equation.

GCF(7241,7254) = 13
LCM(7241,7254) = ( 7241 × 7254) / 13
LCM(7241,7254) = 52526214 / 13
LCM(7241,7254) = 4040478

Least Common Multiple (LCM) of 7241 and 7254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7241 and 7254. First we will calculate the prime factors of 7241 and 7254.

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 7254

Prime factors of 7254 are 2, 3, 13, 31. Prime factorization of 7254 in exponential form is:

7254 = 21 × 32 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7241 and 7254.

LCM(7241,7254) = 131 × 5571 × 21 × 32 × 311
LCM(7241,7254) = 4040478