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What is the Least Common Multiple of 99457 and 99472?

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 99457 and 99472 is 9893186704.

LCM(99457,99472) = 9893186704

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Least Common Multiple of 99457 and 99472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99457 and 99472, than apply into the LCM equation.

GCF(99457,99472) = 1
LCM(99457,99472) = ( 99457 × 99472) / 1
LCM(99457,99472) = 9893186704 / 1
LCM(99457,99472) = 9893186704

Least Common Multiple (LCM) of 99457 and 99472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99457 and 99472. First we will calculate the prime factors of 99457 and 99472.

Prime Factorization of 99457

Prime factors of 99457 are 271, 367. Prime factorization of 99457 in exponential form is:

99457 = 2711 × 3671

Prime Factorization of 99472

Prime factors of 99472 are 2, 6217. Prime factorization of 99472 in exponential form is:

99472 = 24 × 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 99457 and 99472.

LCM(99457,99472) = 2711 × 3671 × 24 × 62171
LCM(99457,99472) = 9893186704