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What is the Least Common Multiple of 99025 and 99043?

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 99043 is 9807733075.

LCM(99025,99043) = 9807733075

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Least Common Multiple of 99025 and 99043 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 99043, than apply into the LCM equation.

GCF(99025,99043) = 1
LCM(99025,99043) = ( 99025 × 99043) / 1
LCM(99025,99043) = 9807733075 / 1
LCM(99025,99043) = 9807733075

Least Common Multiple (LCM) of 99025 and 99043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99025 and 99043. First we will calculate the prime factors of 99025 and 99043.

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 99043

Prime factors of 99043 are 7, 14149. Prime factorization of 99043 in exponential form is:

99043 = 71 × 141491

Now multiplying the highest exponent prime factors to calculate the LCM of 99025 and 99043.

LCM(99025,99043) = 52 × 171 × 2331 × 71 × 141491
LCM(99025,99043) = 9807733075