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What is the Least Common Multiple of 91469 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 91469 and 91489 is 8368407341.

LCM(91469,91489) = 8368407341

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Least Common Multiple of 91469 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 91469 and 91489, than apply into the LCM equation.

GCF(91469,91489) = 1
LCM(91469,91489) = ( 91469 × 91489) / 1
LCM(91469,91489) = 8368407341 / 1
LCM(91469,91489) = 8368407341

Least Common Multiple (LCM) of 91469 and 91489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91469 and 91489. First we will calculate the prime factors of 91469 and 91489.

Prime Factorization of 91469

Prime factors of 91469 are 7, 73, 179. Prime factorization of 91469 in exponential form is:

91469 = 71 × 731 × 1791

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 91469 and 91489.

LCM(91469,91489) = 71 × 731 × 1791 × 1911 × 4791
LCM(91469,91489) = 8368407341