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What is the Least Common Multiple of 28365 and 28383?

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 28365 and 28383 is 268361265.

LCM(28365,28383) = 268361265

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Least Common Multiple of 28365 and 28383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28365 and 28383, than apply into the LCM equation.

GCF(28365,28383) = 3
LCM(28365,28383) = ( 28365 × 28383) / 3
LCM(28365,28383) = 805083795 / 3
LCM(28365,28383) = 268361265

Least Common Multiple (LCM) of 28365 and 28383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28365 and 28383. First we will calculate the prime factors of 28365 and 28383.

Prime Factorization of 28365

Prime factors of 28365 are 3, 5, 31, 61. Prime factorization of 28365 in exponential form is:

28365 = 31 × 51 × 311 × 611

Prime Factorization of 28383

Prime factors of 28383 are 3, 9461. Prime factorization of 28383 in exponential form is:

28383 = 31 × 94611

Now multiplying the highest exponent prime factors to calculate the LCM of 28365 and 28383.

LCM(28365,28383) = 31 × 51 × 311 × 611 × 94611
LCM(28365,28383) = 268361265