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What is the Least Common Multiple of 91259 and 91278?

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 91259 and 91278 is 8329939002.

LCM(91259,91278) = 8329939002

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Least Common Multiple of 91259 and 91278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91259 and 91278, than apply into the LCM equation.

GCF(91259,91278) = 1
LCM(91259,91278) = ( 91259 × 91278) / 1
LCM(91259,91278) = 8329939002 / 1
LCM(91259,91278) = 8329939002

Least Common Multiple (LCM) of 91259 and 91278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91259 and 91278. First we will calculate the prime factors of 91259 and 91278.

Prime Factorization of 91259

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

91259 = 71 × 130371

Prime Factorization of 91278

Prime factors of 91278 are 2, 3, 11, 461. Prime factorization of 91278 in exponential form is:

91278 = 21 × 32 × 111 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 91259 and 91278.

LCM(91259,91278) = 71 × 130371 × 21 × 32 × 111 × 4611
LCM(91259,91278) = 8329939002