What is the Least Common Multiple of 28042 and 28055?
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 28042 and 28055 is 786718310.
LCM(28042,28055) = 786718310
Least Common Multiple of 28042 and 28055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28042 and 28055, than apply into the LCM equation.
GCF(28042,28055) = 1
LCM(28042,28055) = ( 28042 × 28055) / 1
LCM(28042,28055) = 786718310 / 1
LCM(28042,28055) = 786718310
Least Common Multiple (LCM) of 28042 and 28055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28042 and 28055. First we will calculate the prime factors of 28042 and 28055.
Prime Factorization of 28042
Prime factors of 28042 are 2, 7, 2003. Prime factorization of 28042 in exponential form is:
28042 = 21 × 71 × 20031
Prime Factorization of 28055
Prime factors of 28055 are 5, 31, 181. Prime factorization of 28055 in exponential form is:
28055 = 51 × 311 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 28042 and 28055.
LCM(28042,28055) = 21 × 71 × 20031 × 51 × 311 × 1811
LCM(28042,28055) = 786718310
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