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What is the Least Common Multiple of 90881 and 90887?

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 90881 and 90887 is 8259901447.

LCM(90881,90887) = 8259901447

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Least Common Multiple of 90881 and 90887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90881 and 90887, than apply into the LCM equation.

GCF(90881,90887) = 1
LCM(90881,90887) = ( 90881 × 90887) / 1
LCM(90881,90887) = 8259901447 / 1
LCM(90881,90887) = 8259901447

Least Common Multiple (LCM) of 90881 and 90887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90881 and 90887. First we will calculate the prime factors of 90881 and 90887.

Prime Factorization of 90881

Prime factors of 90881 are 7, 12983. Prime factorization of 90881 in exponential form is:

90881 = 71 × 129831

Prime Factorization of 90887

Prime factors of 90887 are 90887. Prime factorization of 90887 in exponential form is:

90887 = 908871

Now multiplying the highest exponent prime factors to calculate the LCM of 90881 and 90887.

LCM(90881,90887) = 71 × 129831 × 908871
LCM(90881,90887) = 8259901447