What is the Least Common Multiple of 28053 and 28066?
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 28053 and 28066 is 787335498.
LCM(28053,28066) = 787335498
Least Common Multiple of 28053 and 28066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28053 and 28066, than apply into the LCM equation.
GCF(28053,28066) = 1
LCM(28053,28066) = ( 28053 × 28066) / 1
LCM(28053,28066) = 787335498 / 1
LCM(28053,28066) = 787335498
Least Common Multiple (LCM) of 28053 and 28066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28053 and 28066. First we will calculate the prime factors of 28053 and 28066.
Prime Factorization of 28053
Prime factors of 28053 are 3, 1039. Prime factorization of 28053 in exponential form is:
28053 = 33 × 10391
Prime Factorization of 28066
Prime factors of 28066 are 2, 14033. Prime factorization of 28066 in exponential form is:
28066 = 21 × 140331
Now multiplying the highest exponent prime factors to calculate the LCM of 28053 and 28066.
LCM(28053,28066) = 33 × 10391 × 21 × 140331
LCM(28053,28066) = 787335498
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