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What is the Least Common Multiple of 28419 and 28423?

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 28419 and 28423 is 807753237.

LCM(28419,28423) = 807753237

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Least Common Multiple of 28419 and 28423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28419 and 28423, than apply into the LCM equation.

GCF(28419,28423) = 1
LCM(28419,28423) = ( 28419 × 28423) / 1
LCM(28419,28423) = 807753237 / 1
LCM(28419,28423) = 807753237

Least Common Multiple (LCM) of 28419 and 28423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28419 and 28423. First we will calculate the prime factors of 28419 and 28423.

Prime Factorization of 28419

Prime factors of 28419 are 3, 9473. Prime factorization of 28419 in exponential form is:

28419 = 31 × 94731

Prime Factorization of 28423

Prime factors of 28423 are 43, 661. Prime factorization of 28423 in exponential form is:

28423 = 431 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 28419 and 28423.

LCM(28419,28423) = 31 × 94731 × 431 × 6611
LCM(28419,28423) = 807753237