What is the Least Common Multiple of 28237 and 28243?
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 28237 and 28243 is 797497591.
LCM(28237,28243) = 797497591
Least Common Multiple of 28237 and 28243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28237 and 28243, than apply into the LCM equation.
GCF(28237,28243) = 1
LCM(28237,28243) = ( 28237 × 28243) / 1
LCM(28237,28243) = 797497591 / 1
LCM(28237,28243) = 797497591
Least Common Multiple (LCM) of 28237 and 28243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28237 and 28243. First we will calculate the prime factors of 28237 and 28243.
Prime Factorization of 28237
Prime factors of 28237 are 11, 17, 151. Prime factorization of 28237 in exponential form is:
28237 = 111 × 171 × 1511
Prime Factorization of 28243
Prime factors of 28243 are 61, 463. Prime factorization of 28243 in exponential form is:
28243 = 611 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 28237 and 28243.
LCM(28237,28243) = 111 × 171 × 1511 × 611 × 4631
LCM(28237,28243) = 797497591
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