What is the Least Common Multiple of 55595 and 55599?
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 55595 and 55599 is 3091026405.
LCM(55595,55599) = 3091026405
Least Common Multiple of 55595 and 55599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55595 and 55599, than apply into the LCM equation.
GCF(55595,55599) = 1
LCM(55595,55599) = ( 55595 × 55599) / 1
LCM(55595,55599) = 3091026405 / 1
LCM(55595,55599) = 3091026405
Least Common Multiple (LCM) of 55595 and 55599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55595 and 55599. First we will calculate the prime factors of 55595 and 55599.
Prime Factorization of 55595
Prime factors of 55595 are 5, 11119. Prime factorization of 55595 in exponential form is:
55595 = 51 × 111191
Prime Factorization of 55599
Prime factors of 55599 are 3, 43, 431. Prime factorization of 55599 in exponential form is:
55599 = 31 × 431 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 55595 and 55599.
LCM(55595,55599) = 51 × 111191 × 31 × 431 × 4311
LCM(55595,55599) = 3091026405
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