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What is the Least Common Multiple of 99911 and 99925?

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 99911 and 99925 is 1426229525.

LCM(99911,99925) = 1426229525

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Least Common Multiple of 99911 and 99925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99911 and 99925, than apply into the LCM equation.

GCF(99911,99925) = 7
LCM(99911,99925) = ( 99911 × 99925) / 7
LCM(99911,99925) = 9983606675 / 7
LCM(99911,99925) = 1426229525

Least Common Multiple (LCM) of 99911 and 99925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99911 and 99925. First we will calculate the prime factors of 99911 and 99925.

Prime Factorization of 99911

Prime factors of 99911 are 7, 2039. Prime factorization of 99911 in exponential form is:

99911 = 72 × 20391

Prime Factorization of 99925

Prime factors of 99925 are 5, 7, 571. Prime factorization of 99925 in exponential form is:

99925 = 52 × 71 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 99911 and 99925.

LCM(99911,99925) = 72 × 20391 × 52 × 5711
LCM(99911,99925) = 1426229525