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What is the Least Common Multiple of 99025 and 99044?

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 99025 and 99044 is 9807832100.

LCM(99025,99044) = 9807832100

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Least Common Multiple of 99025 and 99044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99025 and 99044, than apply into the LCM equation.

GCF(99025,99044) = 1
LCM(99025,99044) = ( 99025 × 99044) / 1
LCM(99025,99044) = 9807832100 / 1
LCM(99025,99044) = 9807832100

Least Common Multiple (LCM) of 99025 and 99044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99025 and 99044. First we will calculate the prime factors of 99025 and 99044.

Prime Factorization of 99025

Prime factors of 99025 are 5, 17, 233. Prime factorization of 99025 in exponential form is:

99025 = 52 × 171 × 2331

Prime Factorization of 99044

Prime factors of 99044 are 2, 11, 2251. Prime factorization of 99044 in exponential form is:

99044 = 22 × 111 × 22511

Now multiplying the highest exponent prime factors to calculate the LCM of 99025 and 99044.

LCM(99025,99044) = 52 × 171 × 2331 × 22 × 111 × 22511
LCM(99025,99044) = 9807832100