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What is the Least Common Multiple of 91240 and 91259?

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 91240 and 91259 is 8326471160.

LCM(91240,91259) = 8326471160

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Least Common Multiple of 91240 and 91259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91240 and 91259, than apply into the LCM equation.

GCF(91240,91259) = 1
LCM(91240,91259) = ( 91240 × 91259) / 1
LCM(91240,91259) = 8326471160 / 1
LCM(91240,91259) = 8326471160

Least Common Multiple (LCM) of 91240 and 91259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91240 and 91259. First we will calculate the prime factors of 91240 and 91259.

Prime Factorization of 91240

Prime factors of 91240 are 2, 5, 2281. Prime factorization of 91240 in exponential form is:

91240 = 23 × 51 × 22811

Prime Factorization of 91259

Prime factors of 91259 are 7, 13037. Prime factorization of 91259 in exponential form is:

91259 = 71 × 130371

Now multiplying the highest exponent prime factors to calculate the LCM of 91240 and 91259.

LCM(91240,91259) = 23 × 51 × 22811 × 71 × 130371
LCM(91240,91259) = 8326471160