What is the Least Common Multiple of 28445 and 28451?
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 28445 and 28451 is 809288695.
LCM(28445,28451) = 809288695
Least Common Multiple of 28445 and 28451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28445 and 28451, than apply into the LCM equation.
GCF(28445,28451) = 1
LCM(28445,28451) = ( 28445 × 28451) / 1
LCM(28445,28451) = 809288695 / 1
LCM(28445,28451) = 809288695
Least Common Multiple (LCM) of 28445 and 28451 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28445 and 28451. First we will calculate the prime factors of 28445 and 28451.
Prime Factorization of 28445
Prime factors of 28445 are 5, 5689. Prime factorization of 28445 in exponential form is:
28445 = 51 × 56891
Prime Factorization of 28451
Prime factors of 28451 are 23, 1237. Prime factorization of 28451 in exponential form is:
28451 = 231 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 28445 and 28451.
LCM(28445,28451) = 51 × 56891 × 231 × 12371
LCM(28445,28451) = 809288695
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