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What is the Least Common Multiple of 90884 and 90899?

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 90884 and 90899 is 8261264716.

LCM(90884,90899) = 8261264716

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Least Common Multiple of 90884 and 90899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90884 and 90899, than apply into the LCM equation.

GCF(90884,90899) = 1
LCM(90884,90899) = ( 90884 × 90899) / 1
LCM(90884,90899) = 8261264716 / 1
LCM(90884,90899) = 8261264716

Least Common Multiple (LCM) of 90884 and 90899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90884 and 90899. First we will calculate the prime factors of 90884 and 90899.

Prime Factorization of 90884

Prime factors of 90884 are 2, 22721. Prime factorization of 90884 in exponential form is:

90884 = 22 × 227211

Prime Factorization of 90899

Prime factors of 90899 are 17, 5347. Prime factorization of 90899 in exponential form is:

90899 = 171 × 53471

Now multiplying the highest exponent prime factors to calculate the LCM of 90884 and 90899.

LCM(90884,90899) = 22 × 227211 × 171 × 53471
LCM(90884,90899) = 8261264716