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What is the Least Common Multiple of 91481 and 91489?

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 91481 and 91489 is 8369505209.

LCM(91481,91489) = 8369505209

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Least Common Multiple of 91481 and 91489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91481 and 91489, than apply into the LCM equation.

GCF(91481,91489) = 1
LCM(91481,91489) = ( 91481 × 91489) / 1
LCM(91481,91489) = 8369505209 / 1
LCM(91481,91489) = 8369505209

Least Common Multiple (LCM) of 91481 and 91489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91481 and 91489. First we will calculate the prime factors of 91481 and 91489.

Prime Factorization of 91481

Prime factors of 91481 are 13, 31, 227. Prime factorization of 91481 in exponential form is:

91481 = 131 × 311 × 2271

Prime Factorization of 91489

Prime factors of 91489 are 191, 479. Prime factorization of 91489 in exponential form is:

91489 = 1911 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 91481 and 91489.

LCM(91481,91489) = 131 × 311 × 2271 × 1911 × 4791
LCM(91481,91489) = 8369505209