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What is the Least Common Multiple of 89497 and 89510?

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 89497 and 89510 is 8010876470.

LCM(89497,89510) = 8010876470

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Least Common Multiple of 89497 and 89510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89497 and 89510, than apply into the LCM equation.

GCF(89497,89510) = 1
LCM(89497,89510) = ( 89497 × 89510) / 1
LCM(89497,89510) = 8010876470 / 1
LCM(89497,89510) = 8010876470

Least Common Multiple (LCM) of 89497 and 89510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89497 and 89510. First we will calculate the prime factors of 89497 and 89510.

Prime Factorization of 89497

Prime factors of 89497 are 31, 2887. Prime factorization of 89497 in exponential form is:

89497 = 311 × 28871

Prime Factorization of 89510

Prime factors of 89510 are 2, 5, 8951. Prime factorization of 89510 in exponential form is:

89510 = 21 × 51 × 89511

Now multiplying the highest exponent prime factors to calculate the LCM of 89497 and 89510.

LCM(89497,89510) = 311 × 28871 × 21 × 51 × 89511
LCM(89497,89510) = 8010876470