What is the Least Common Multiple of 28056 and 28063?
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 28056 and 28063 is 112476504.
LCM(28056,28063) = 112476504
Least Common Multiple of 28056 and 28063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28056 and 28063, than apply into the LCM equation.
GCF(28056,28063) = 7
LCM(28056,28063) = ( 28056 × 28063) / 7
LCM(28056,28063) = 787335528 / 7
LCM(28056,28063) = 112476504
Least Common Multiple (LCM) of 28056 and 28063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28056 and 28063. First we will calculate the prime factors of 28056 and 28063.
Prime Factorization of 28056
Prime factors of 28056 are 2, 3, 7, 167. Prime factorization of 28056 in exponential form is:
28056 = 23 × 31 × 71 × 1671
Prime Factorization of 28063
Prime factors of 28063 are 7, 19, 211. Prime factorization of 28063 in exponential form is:
28063 = 71 × 191 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 28056 and 28063.
LCM(28056,28063) = 23 × 31 × 71 × 1671 × 191 × 2111
LCM(28056,28063) = 112476504
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