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What is the Least Common Multiple of 80417 and 80430?

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 80417 and 80430 is 6467939310.

LCM(80417,80430) = 6467939310

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Least Common Multiple of 80417 and 80430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80417 and 80430, than apply into the LCM equation.

GCF(80417,80430) = 1
LCM(80417,80430) = ( 80417 × 80430) / 1
LCM(80417,80430) = 6467939310 / 1
LCM(80417,80430) = 6467939310

Least Common Multiple (LCM) of 80417 and 80430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80417 and 80430. First we will calculate the prime factors of 80417 and 80430.

Prime Factorization of 80417

Prime factors of 80417 are 29, 47, 59. Prime factorization of 80417 in exponential form is:

80417 = 291 × 471 × 591

Prime Factorization of 80430

Prime factors of 80430 are 2, 3, 5, 7, 383. Prime factorization of 80430 in exponential form is:

80430 = 21 × 31 × 51 × 71 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 80417 and 80430.

LCM(80417,80430) = 291 × 471 × 591 × 21 × 31 × 51 × 71 × 3831
LCM(80417,80430) = 6467939310