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What is the Least Common Multiple of 89258 and 89269?

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 89258 and 89269 is 7967972402.

LCM(89258,89269) = 7967972402

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Least Common Multiple of 89258 and 89269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89258 and 89269, than apply into the LCM equation.

GCF(89258,89269) = 1
LCM(89258,89269) = ( 89258 × 89269) / 1
LCM(89258,89269) = 7967972402 / 1
LCM(89258,89269) = 7967972402

Least Common Multiple (LCM) of 89258 and 89269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89258 and 89269. First we will calculate the prime factors of 89258 and 89269.

Prime Factorization of 89258

Prime factors of 89258 are 2, 13, 3433. Prime factorization of 89258 in exponential form is:

89258 = 21 × 131 × 34331

Prime Factorization of 89269

Prime factors of 89269 are 89269. Prime factorization of 89269 in exponential form is:

89269 = 892691

Now multiplying the highest exponent prime factors to calculate the LCM of 89258 and 89269.

LCM(89258,89269) = 21 × 131 × 34331 × 892691
LCM(89258,89269) = 7967972402