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What is the Least Common Multiple of 28773 and 28790?

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 28773 and 28790 is 828374670.

LCM(28773,28790) = 828374670

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Least Common Multiple of 28773 and 28790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28773 and 28790, than apply into the LCM equation.

GCF(28773,28790) = 1
LCM(28773,28790) = ( 28773 × 28790) / 1
LCM(28773,28790) = 828374670 / 1
LCM(28773,28790) = 828374670

Least Common Multiple (LCM) of 28773 and 28790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28773 and 28790. First we will calculate the prime factors of 28773 and 28790.

Prime Factorization of 28773

Prime factors of 28773 are 3, 23, 139. Prime factorization of 28773 in exponential form is:

28773 = 32 × 231 × 1391

Prime Factorization of 28790

Prime factors of 28790 are 2, 5, 2879. Prime factorization of 28790 in exponential form is:

28790 = 21 × 51 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 28773 and 28790.

LCM(28773,28790) = 32 × 231 × 1391 × 21 × 51 × 28791
LCM(28773,28790) = 828374670