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What is the Least Common Multiple of 99002 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 99002 and 99020 is 4901589020.

LCM(99002,99020) = 4901589020

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Least Common Multiple of 99002 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 99002 and 99020, than apply into the LCM equation.

GCF(99002,99020) = 2
LCM(99002,99020) = ( 99002 × 99020) / 2
LCM(99002,99020) = 9803178040 / 2
LCM(99002,99020) = 4901589020

Least Common Multiple (LCM) of 99002 and 99020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99002 and 99020. First we will calculate the prime factors of 99002 and 99020.

Prime Factorization of 99002

Prime factors of 99002 are 2, 59, 839. Prime factorization of 99002 in exponential form is:

99002 = 21 × 591 × 8391

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 99002 and 99020.

LCM(99002,99020) = 22 × 591 × 8391 × 51 × 49511
LCM(99002,99020) = 4901589020