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What is the Least Common Multiple of 89630 and 89639?

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 89630 and 89639 is 8034343570.

LCM(89630,89639) = 8034343570

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Least Common Multiple of 89630 and 89639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89630 and 89639, than apply into the LCM equation.

GCF(89630,89639) = 1
LCM(89630,89639) = ( 89630 × 89639) / 1
LCM(89630,89639) = 8034343570 / 1
LCM(89630,89639) = 8034343570

Least Common Multiple (LCM) of 89630 and 89639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89630 and 89639. First we will calculate the prime factors of 89630 and 89639.

Prime Factorization of 89630

Prime factors of 89630 are 2, 5, 8963. Prime factorization of 89630 in exponential form is:

89630 = 21 × 51 × 89631

Prime Factorization of 89639

Prime factors of 89639 are 11, 29, 281. Prime factorization of 89639 in exponential form is:

89639 = 111 × 291 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 89630 and 89639.

LCM(89630,89639) = 21 × 51 × 89631 × 111 × 291 × 2811
LCM(89630,89639) = 8034343570