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What is the Least Common Multiple of 99110 and 99118?

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 99110 and 99118 is 4911792490.

LCM(99110,99118) = 4911792490

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Least Common Multiple of 99110 and 99118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99110 and 99118, than apply into the LCM equation.

GCF(99110,99118) = 2
LCM(99110,99118) = ( 99110 × 99118) / 2
LCM(99110,99118) = 9823584980 / 2
LCM(99110,99118) = 4911792490

Least Common Multiple (LCM) of 99110 and 99118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99110 and 99118. First we will calculate the prime factors of 99110 and 99118.

Prime Factorization of 99110

Prime factors of 99110 are 2, 5, 11, 17, 53. Prime factorization of 99110 in exponential form is:

99110 = 21 × 51 × 111 × 171 × 531

Prime Factorization of 99118

Prime factors of 99118 are 2, 49559. Prime factorization of 99118 in exponential form is:

99118 = 21 × 495591

Now multiplying the highest exponent prime factors to calculate the LCM of 99110 and 99118.

LCM(99110,99118) = 21 × 51 × 111 × 171 × 531 × 495591
LCM(99110,99118) = 4911792490