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What is the Least Common Multiple of 99062 and 99077?

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 99062 and 99077 is 9814765774.

LCM(99062,99077) = 9814765774

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Least Common Multiple of 99062 and 99077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99062 and 99077, than apply into the LCM equation.

GCF(99062,99077) = 1
LCM(99062,99077) = ( 99062 × 99077) / 1
LCM(99062,99077) = 9814765774 / 1
LCM(99062,99077) = 9814765774

Least Common Multiple (LCM) of 99062 and 99077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99062 and 99077. First we will calculate the prime factors of 99062 and 99077.

Prime Factorization of 99062

Prime factors of 99062 are 2, 49531. Prime factorization of 99062 in exponential form is:

99062 = 21 × 495311

Prime Factorization of 99077

Prime factors of 99077 are 11, 9007. Prime factorization of 99077 in exponential form is:

99077 = 111 × 90071

Now multiplying the highest exponent prime factors to calculate the LCM of 99062 and 99077.

LCM(99062,99077) = 21 × 495311 × 111 × 90071
LCM(99062,99077) = 9814765774