What is the Least Common Multiple of 28261 and 28281?
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 28261 and 28281 is 799249341.
LCM(28261,28281) = 799249341
Least Common Multiple of 28261 and 28281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28261 and 28281, than apply into the LCM equation.
GCF(28261,28281) = 1
LCM(28261,28281) = ( 28261 × 28281) / 1
LCM(28261,28281) = 799249341 / 1
LCM(28261,28281) = 799249341
Least Common Multiple (LCM) of 28261 and 28281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28261 and 28281. First we will calculate the prime factors of 28261 and 28281.
Prime Factorization of 28261
Prime factors of 28261 are 59, 479. Prime factorization of 28261 in exponential form is:
28261 = 591 × 4791
Prime Factorization of 28281
Prime factors of 28281 are 3, 11, 857. Prime factorization of 28281 in exponential form is:
28281 = 31 × 111 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 28261 and 28281.
LCM(28261,28281) = 591 × 4791 × 31 × 111 × 8571
LCM(28261,28281) = 799249341
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