What is the Least Common Multiple of 55393 and 55399?
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 55393 and 55399 is 3068716807.
LCM(55393,55399) = 3068716807
Least Common Multiple of 55393 and 55399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55393 and 55399, than apply into the LCM equation.
GCF(55393,55399) = 1
LCM(55393,55399) = ( 55393 × 55399) / 1
LCM(55393,55399) = 3068716807 / 1
LCM(55393,55399) = 3068716807
Least Common Multiple (LCM) of 55393 and 55399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55393 and 55399. First we will calculate the prime factors of 55393 and 55399.
Prime Factorization of 55393
Prime factors of 55393 are 13, 4261. Prime factorization of 55393 in exponential form is:
55393 = 131 × 42611
Prime Factorization of 55399
Prime factors of 55399 are 55399. Prime factorization of 55399 in exponential form is:
55399 = 553991
Now multiplying the highest exponent prime factors to calculate the LCM of 55393 and 55399.
LCM(55393,55399) = 131 × 42611 × 553991
LCM(55393,55399) = 3068716807
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