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What is the Least Common Multiple of 9452 and 9457?

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 9452 and 9457 is 89387564.

LCM(9452,9457) = 89387564

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Least Common Multiple of 9452 and 9457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9452 and 9457, than apply into the LCM equation.

GCF(9452,9457) = 1
LCM(9452,9457) = ( 9452 × 9457) / 1
LCM(9452,9457) = 89387564 / 1
LCM(9452,9457) = 89387564

Least Common Multiple (LCM) of 9452 and 9457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9452 and 9457. First we will calculate the prime factors of 9452 and 9457.

Prime Factorization of 9452

Prime factors of 9452 are 2, 17, 139. Prime factorization of 9452 in exponential form is:

9452 = 22 × 171 × 1391

Prime Factorization of 9457

Prime factors of 9457 are 7, 193. Prime factorization of 9457 in exponential form is:

9457 = 72 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 9452 and 9457.

LCM(9452,9457) = 22 × 171 × 1391 × 72 × 1931
LCM(9452,9457) = 89387564