What is the Least Common Multiple of 28388 and 28400?
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 28388 and 28400 is 201554800.
LCM(28388,28400) = 201554800
Least Common Multiple of 28388 and 28400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28388 and 28400, than apply into the LCM equation.
GCF(28388,28400) = 4
LCM(28388,28400) = ( 28388 × 28400) / 4
LCM(28388,28400) = 806219200 / 4
LCM(28388,28400) = 201554800
Least Common Multiple (LCM) of 28388 and 28400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28388 and 28400. First we will calculate the prime factors of 28388 and 28400.
Prime Factorization of 28388
Prime factors of 28388 are 2, 47, 151. Prime factorization of 28388 in exponential form is:
28388 = 22 × 471 × 1511
Prime Factorization of 28400
Prime factors of 28400 are 2, 5, 71. Prime factorization of 28400 in exponential form is:
28400 = 24 × 52 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 28388 and 28400.
LCM(28388,28400) = 24 × 471 × 1511 × 52 × 711
LCM(28388,28400) = 201554800
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