What is the Least Common Multiple of 28053 and 28073?
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 28073 is 787531869.
LCM(28053,28073) = 787531869
Least Common Multiple of 28053 and 28073 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 28073, than apply into the LCM equation.
GCF(28053,28073) = 1
LCM(28053,28073) = ( 28053 × 28073) / 1
LCM(28053,28073) = 787531869 / 1
LCM(28053,28073) = 787531869
Least Common Multiple (LCM) of 28053 and 28073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28053 and 28073. First we will calculate the prime factors of 28053 and 28073.
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 28073
Prime factors of 28073 are 67, 419. Prime factorization of 28073 in exponential form is:
28073 = 671 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 28053 and 28073.
LCM(28053,28073) = 33 × 10391 × 671 × 4191
LCM(28053,28073) = 787531869
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