What is the Least Common Multiple of 55855 and 55863?
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 55855 and 55863 is 3120227865.
LCM(55855,55863) = 3120227865
Least Common Multiple of 55855 and 55863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55855 and 55863, than apply into the LCM equation.
GCF(55855,55863) = 1
LCM(55855,55863) = ( 55855 × 55863) / 1
LCM(55855,55863) = 3120227865 / 1
LCM(55855,55863) = 3120227865
Least Common Multiple (LCM) of 55855 and 55863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55855 and 55863. First we will calculate the prime factors of 55855 and 55863.
Prime Factorization of 55855
Prime factors of 55855 are 5, 11171. Prime factorization of 55855 in exponential form is:
55855 = 51 × 111711
Prime Factorization of 55863
Prime factors of 55863 are 3, 2069. Prime factorization of 55863 in exponential form is:
55863 = 33 × 20691
Now multiplying the highest exponent prime factors to calculate the LCM of 55855 and 55863.
LCM(55855,55863) = 51 × 111711 × 33 × 20691
LCM(55855,55863) = 3120227865
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