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What is the Least Common Multiple of 99029 and 99037?

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 99029 and 99037 is 9807535073.

LCM(99029,99037) = 9807535073

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Least Common Multiple of 99029 and 99037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99029 and 99037, than apply into the LCM equation.

GCF(99029,99037) = 1
LCM(99029,99037) = ( 99029 × 99037) / 1
LCM(99029,99037) = 9807535073 / 1
LCM(99029,99037) = 9807535073

Least Common Multiple (LCM) of 99029 and 99037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99029 and 99037. First we will calculate the prime factors of 99029 and 99037.

Prime Factorization of 99029

Prime factors of 99029 are 7, 43, 47. Prime factorization of 99029 in exponential form is:

99029 = 72 × 431 × 471

Prime Factorization of 99037

Prime factors of 99037 are 97, 1021. Prime factorization of 99037 in exponential form is:

99037 = 971 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 99029 and 99037.

LCM(99029,99037) = 72 × 431 × 471 × 971 × 10211
LCM(99029,99037) = 9807535073