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What is the Least Common Multiple of 99011 and 99020?

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 99011 and 99020 is 9804069220.

LCM(99011,99020) = 9804069220

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Least Common Multiple of 99011 and 99020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99011 and 99020, than apply into the LCM equation.

GCF(99011,99020) = 1
LCM(99011,99020) = ( 99011 × 99020) / 1
LCM(99011,99020) = 9804069220 / 1
LCM(99011,99020) = 9804069220

Least Common Multiple (LCM) of 99011 and 99020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99011 and 99020. First we will calculate the prime factors of 99011 and 99020.

Prime Factorization of 99011

Prime factors of 99011 are 11, 9001. Prime factorization of 99011 in exponential form is:

99011 = 111 × 90011

Prime Factorization of 99020

Prime factors of 99020 are 2, 5, 4951. Prime factorization of 99020 in exponential form is:

99020 = 22 × 51 × 49511

Now multiplying the highest exponent prime factors to calculate the LCM of 99011 and 99020.

LCM(99011,99020) = 111 × 90011 × 22 × 51 × 49511
LCM(99011,99020) = 9804069220