What is the Least Common Multiple of 54568 and 54576?
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 54568 and 54576 is 372262896.
LCM(54568,54576) = 372262896
Least Common Multiple of 54568 and 54576 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54568 and 54576, than apply into the LCM equation.
GCF(54568,54576) = 8
LCM(54568,54576) = ( 54568 × 54576) / 8
LCM(54568,54576) = 2978103168 / 8
LCM(54568,54576) = 372262896
Least Common Multiple (LCM) of 54568 and 54576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54568 and 54576. First we will calculate the prime factors of 54568 and 54576.
Prime Factorization of 54568
Prime factors of 54568 are 2, 19, 359. Prime factorization of 54568 in exponential form is:
54568 = 23 × 191 × 3591
Prime Factorization of 54576
Prime factors of 54576 are 2, 3, 379. Prime factorization of 54576 in exponential form is:
54576 = 24 × 32 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 54568 and 54576.
LCM(54568,54576) = 24 × 191 × 3591 × 32 × 3791
LCM(54568,54576) = 372262896
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