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What is the Least Common Multiple of 28350 and 28362?

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 28350 and 28362 is 134010450.

LCM(28350,28362) = 134010450

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Least Common Multiple of 28350 and 28362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28350 and 28362, than apply into the LCM equation.

GCF(28350,28362) = 6
LCM(28350,28362) = ( 28350 × 28362) / 6
LCM(28350,28362) = 804062700 / 6
LCM(28350,28362) = 134010450

Least Common Multiple (LCM) of 28350 and 28362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28350 and 28362. First we will calculate the prime factors of 28350 and 28362.

Prime Factorization of 28350

Prime factors of 28350 are 2, 3, 5, 7. Prime factorization of 28350 in exponential form is:

28350 = 21 × 34 × 52 × 71

Prime Factorization of 28362

Prime factors of 28362 are 2, 3, 29, 163. Prime factorization of 28362 in exponential form is:

28362 = 21 × 31 × 291 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 28350 and 28362.

LCM(28350,28362) = 21 × 34 × 52 × 71 × 291 × 1631
LCM(28350,28362) = 134010450