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What is the Least Common Multiple of 89449 and 89467?

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 89449 and 89467 is 8002733683.

LCM(89449,89467) = 8002733683

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Least Common Multiple of 89449 and 89467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89449 and 89467, than apply into the LCM equation.

GCF(89449,89467) = 1
LCM(89449,89467) = ( 89449 × 89467) / 1
LCM(89449,89467) = 8002733683 / 1
LCM(89449,89467) = 8002733683

Least Common Multiple (LCM) of 89449 and 89467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89449 and 89467. First we will calculate the prime factors of 89449 and 89467.

Prime Factorization of 89449

Prime factors of 89449 are 89449. Prime factorization of 89449 in exponential form is:

89449 = 894491

Prime Factorization of 89467

Prime factors of 89467 are 7, 12781. Prime factorization of 89467 in exponential form is:

89467 = 71 × 127811

Now multiplying the highest exponent prime factors to calculate the LCM of 89449 and 89467.

LCM(89449,89467) = 894491 × 71 × 127811
LCM(89449,89467) = 8002733683