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What is the Least Common Multiple of 23452 and 23457?

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 23452 and 23457 is 550113564.

LCM(23452,23457) = 550113564

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Least Common Multiple of 23452 and 23457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23452 and 23457, than apply into the LCM equation.

GCF(23452,23457) = 1
LCM(23452,23457) = ( 23452 × 23457) / 1
LCM(23452,23457) = 550113564 / 1
LCM(23452,23457) = 550113564

Least Common Multiple (LCM) of 23452 and 23457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23452 and 23457. First we will calculate the prime factors of 23452 and 23457.

Prime Factorization of 23452

Prime factors of 23452 are 2, 11, 13, 41. Prime factorization of 23452 in exponential form is:

23452 = 22 × 111 × 131 × 411

Prime Factorization of 23457

Prime factors of 23457 are 3, 7, 1117. Prime factorization of 23457 in exponential form is:

23457 = 31 × 71 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 23452 and 23457.

LCM(23452,23457) = 22 × 111 × 131 × 411 × 31 × 71 × 11171
LCM(23452,23457) = 550113564