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What is the Least Common Multiple of 99061 and 99073?

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 99061 and 99073 is 9814270453.

LCM(99061,99073) = 9814270453

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Least Common Multiple of 99061 and 99073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99061 and 99073, than apply into the LCM equation.

GCF(99061,99073) = 1
LCM(99061,99073) = ( 99061 × 99073) / 1
LCM(99061,99073) = 9814270453 / 1
LCM(99061,99073) = 9814270453

Least Common Multiple (LCM) of 99061 and 99073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99061 and 99073. First we will calculate the prime factors of 99061 and 99073.

Prime Factorization of 99061

Prime factors of 99061 are 23, 59, 73. Prime factorization of 99061 in exponential form is:

99061 = 231 × 591 × 731

Prime Factorization of 99073

Prime factors of 99073 are 13, 7621. Prime factorization of 99073 in exponential form is:

99073 = 131 × 76211

Now multiplying the highest exponent prime factors to calculate the LCM of 99061 and 99073.

LCM(99061,99073) = 231 × 591 × 731 × 131 × 76211
LCM(99061,99073) = 9814270453