What is the Least Common Multiple of 28243 and 28250?
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 28243 and 28250 is 797864750.
LCM(28243,28250) = 797864750
Least Common Multiple of 28243 and 28250 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28243 and 28250, than apply into the LCM equation.
GCF(28243,28250) = 1
LCM(28243,28250) = ( 28243 × 28250) / 1
LCM(28243,28250) = 797864750 / 1
LCM(28243,28250) = 797864750
Least Common Multiple (LCM) of 28243 and 28250 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28243 and 28250. First we will calculate the prime factors of 28243 and 28250.
Prime Factorization of 28243
Prime factors of 28243 are 61, 463. Prime factorization of 28243 in exponential form is:
28243 = 611 × 4631
Prime Factorization of 28250
Prime factors of 28250 are 2, 5, 113. Prime factorization of 28250 in exponential form is:
28250 = 21 × 53 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 28243 and 28250.
LCM(28243,28250) = 611 × 4631 × 21 × 53 × 1131
LCM(28243,28250) = 797864750
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