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What is the Least Common Multiple of 89630 and 89640?

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 89640 is 803443320.

LCM(89630,89640) = 803443320

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Least Common Multiple of 89630 and 89640 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 89640, than apply into the LCM equation.

GCF(89630,89640) = 10
LCM(89630,89640) = ( 89630 × 89640) / 10
LCM(89630,89640) = 8034433200 / 10
LCM(89630,89640) = 803443320

Least Common Multiple (LCM) of 89630 and 89640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89630 and 89640. First we will calculate the prime factors of 89630 and 89640.

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 89640

Prime factors of 89640 are 2, 3, 5, 83. Prime factorization of 89640 in exponential form is:

89640 = 23 × 33 × 51 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 89630 and 89640.

LCM(89630,89640) = 23 × 51 × 89631 × 33 × 831
LCM(89630,89640) = 803443320