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What is the Least Common Multiple of 99034 and 99049?

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 99034 and 99049 is 9809218666.

LCM(99034,99049) = 9809218666

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Least Common Multiple of 99034 and 99049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99034 and 99049, than apply into the LCM equation.

GCF(99034,99049) = 1
LCM(99034,99049) = ( 99034 × 99049) / 1
LCM(99034,99049) = 9809218666 / 1
LCM(99034,99049) = 9809218666

Least Common Multiple (LCM) of 99034 and 99049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99034 and 99049. First we will calculate the prime factors of 99034 and 99049.

Prime Factorization of 99034

Prime factors of 99034 are 2, 13, 293. Prime factorization of 99034 in exponential form is:

99034 = 21 × 132 × 2931

Prime Factorization of 99049

Prime factors of 99049 are 37, 2677. Prime factorization of 99049 in exponential form is:

99049 = 371 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 99034 and 99049.

LCM(99034,99049) = 21 × 132 × 2931 × 371 × 26771
LCM(99034,99049) = 9809218666