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What is the Least Common Multiple of 91087 and 91098?

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 91087 and 91098 is 8297843526.

LCM(91087,91098) = 8297843526

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Least Common Multiple of 91087 and 91098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91087 and 91098, than apply into the LCM equation.

GCF(91087,91098) = 1
LCM(91087,91098) = ( 91087 × 91098) / 1
LCM(91087,91098) = 8297843526 / 1
LCM(91087,91098) = 8297843526

Least Common Multiple (LCM) of 91087 and 91098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91087 and 91098. First we will calculate the prime factors of 91087 and 91098.

Prime Factorization of 91087

Prime factors of 91087 are 79, 1153. Prime factorization of 91087 in exponential form is:

91087 = 791 × 11531

Prime Factorization of 91098

Prime factors of 91098 are 2, 3, 7, 241. Prime factorization of 91098 in exponential form is:

91098 = 21 × 33 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 91087 and 91098.

LCM(91087,91098) = 791 × 11531 × 21 × 33 × 71 × 2411
LCM(91087,91098) = 8297843526