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What is the Least Common Multiple of 91270 and 91289?

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 91270 and 91289 is 8331947030.

LCM(91270,91289) = 8331947030

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Least Common Multiple of 91270 and 91289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91270 and 91289, than apply into the LCM equation.

GCF(91270,91289) = 1
LCM(91270,91289) = ( 91270 × 91289) / 1
LCM(91270,91289) = 8331947030 / 1
LCM(91270,91289) = 8331947030

Least Common Multiple (LCM) of 91270 and 91289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91270 and 91289. First we will calculate the prime factors of 91270 and 91289.

Prime Factorization of 91270

Prime factors of 91270 are 2, 5, 9127. Prime factorization of 91270 in exponential form is:

91270 = 21 × 51 × 91271

Prime Factorization of 91289

Prime factors of 91289 are 11, 43, 193. Prime factorization of 91289 in exponential form is:

91289 = 111 × 431 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 91270 and 91289.

LCM(91270,91289) = 21 × 51 × 91271 × 111 × 431 × 1931
LCM(91270,91289) = 8331947030