Question

7226 LCM explain step by step​

Answer 1

Answer:

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Answer 2

Answer:

Least Common Multiple of 7226 and 7245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 7226 and 7245, than apply into the LCM equation.

GCF(7226,7245) = 1

LCM(7226,7245) = ( 7226 × 7245) / 1

LCM(7226,7245) = 52352370 / 1

LCM(7226,7245) = 52352370

Least Common Multiple (LCM) of 7226 and 7245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7226 and 7245. First we will calculate the prime factors of 7226 and 7245.

Prime Factorization of 7226

Prime factors of 7226 are 2, 3613. Prime factorization of 7226 in exponential form is:

7226 = 21 × 36131

Prime Factorization of 7245

Prime factors of 7245 are 3, 5, 7, 23. Prime factorization of 7245 in exponential form is:

7245 = 32 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7226 and 7245.

LCM(7226,7245) = 21 × 36131 × 32 × 51 × 71 × 231

LCM(7226,7245) = 52352370