What is the Least Common Multiple of 28453 and 28472?
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 28453 and 28472 is 810113816.
LCM(28453,28472) = 810113816
Least Common Multiple of 28453 and 28472 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28453 and 28472, than apply into the LCM equation.
GCF(28453,28472) = 1
LCM(28453,28472) = ( 28453 × 28472) / 1
LCM(28453,28472) = 810113816 / 1
LCM(28453,28472) = 810113816
Least Common Multiple (LCM) of 28453 and 28472 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28453 and 28472. First we will calculate the prime factors of 28453 and 28472.
Prime Factorization of 28453
Prime factors of 28453 are 37, 769. Prime factorization of 28453 in exponential form is:
28453 = 371 × 7691
Prime Factorization of 28472
Prime factors of 28472 are 2, 3559. Prime factorization of 28472 in exponential form is:
28472 = 23 × 35591
Now multiplying the highest exponent prime factors to calculate the LCM of 28453 and 28472.
LCM(28453,28472) = 371 × 7691 × 23 × 35591
LCM(28453,28472) = 810113816
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