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What is the Least Common Multiple of 28419 and 28437?

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 28437 is 269383701.

LCM(28419,28437) = 269383701

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Least Common Multiple of 28419 and 28437 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 28437, than apply into the LCM equation.

GCF(28419,28437) = 3
LCM(28419,28437) = ( 28419 × 28437) / 3
LCM(28419,28437) = 808151103 / 3
LCM(28419,28437) = 269383701

Least Common Multiple (LCM) of 28419 and 28437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28419 and 28437. First we will calculate the prime factors of 28419 and 28437.

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 28437

Prime factors of 28437 are 3, 9479. Prime factorization of 28437 in exponential form is:

28437 = 31 × 94791

Now multiplying the highest exponent prime factors to calculate the LCM of 28419 and 28437.

LCM(28419,28437) = 31 × 94731 × 94791
LCM(28419,28437) = 269383701