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What is the Least Common Multiple of 89641 and 89648?

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 89641 and 89648 is 8036136368.

LCM(89641,89648) = 8036136368

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Least Common Multiple of 89641 and 89648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89641 and 89648, than apply into the LCM equation.

GCF(89641,89648) = 1
LCM(89641,89648) = ( 89641 × 89648) / 1
LCM(89641,89648) = 8036136368 / 1
LCM(89641,89648) = 8036136368

Least Common Multiple (LCM) of 89641 and 89648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89641 and 89648. First we will calculate the prime factors of 89641 and 89648.

Prime Factorization of 89641

Prime factors of 89641 are 17, 5273. Prime factorization of 89641 in exponential form is:

89641 = 171 × 52731

Prime Factorization of 89648

Prime factors of 89648 are 2, 13, 431. Prime factorization of 89648 in exponential form is:

89648 = 24 × 131 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 89641 and 89648.

LCM(89641,89648) = 171 × 52731 × 24 × 131 × 4311
LCM(89641,89648) = 8036136368