What is the Least Common Multiple of 54595 and 54600?
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 54595 and 54600 is 596177400.
LCM(54595,54600) = 596177400
Least Common Multiple of 54595 and 54600 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54595 and 54600, than apply into the LCM equation.
GCF(54595,54600) = 5
LCM(54595,54600) = ( 54595 × 54600) / 5
LCM(54595,54600) = 2980887000 / 5
LCM(54595,54600) = 596177400
Least Common Multiple (LCM) of 54595 and 54600 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54595 and 54600. First we will calculate the prime factors of 54595 and 54600.
Prime Factorization of 54595
Prime factors of 54595 are 5, 61, 179. Prime factorization of 54595 in exponential form is:
54595 = 51 × 611 × 1791
Prime Factorization of 54600
Prime factors of 54600 are 2, 3, 5, 7, 13. Prime factorization of 54600 in exponential form is:
54600 = 23 × 31 × 52 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 54595 and 54600.
LCM(54595,54600) = 52 × 611 × 1791 × 23 × 31 × 71 × 131
LCM(54595,54600) = 596177400
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