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What is the Least Common Multiple of 99035 and 99053?

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 99035 and 99053 is 9809713855.

LCM(99035,99053) = 9809713855

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Least Common Multiple of 99035 and 99053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99035 and 99053, than apply into the LCM equation.

GCF(99035,99053) = 1
LCM(99035,99053) = ( 99035 × 99053) / 1
LCM(99035,99053) = 9809713855 / 1
LCM(99035,99053) = 9809713855

Least Common Multiple (LCM) of 99035 and 99053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99035 and 99053. First we will calculate the prime factors of 99035 and 99053.

Prime Factorization of 99035

Prime factors of 99035 are 5, 29, 683. Prime factorization of 99035 in exponential form is:

99035 = 51 × 291 × 6831

Prime Factorization of 99053

Prime factors of 99053 are 99053. Prime factorization of 99053 in exponential form is:

99053 = 990531

Now multiplying the highest exponent prime factors to calculate the LCM of 99035 and 99053.

LCM(99035,99053) = 51 × 291 × 6831 × 990531
LCM(99035,99053) = 9809713855