What is the Least Common Multiple of 55813 and 55818?
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 55813 and 55818 is 3115370034.
LCM(55813,55818) = 3115370034
Least Common Multiple of 55813 and 55818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55813 and 55818, than apply into the LCM equation.
GCF(55813,55818) = 1
LCM(55813,55818) = ( 55813 × 55818) / 1
LCM(55813,55818) = 3115370034 / 1
LCM(55813,55818) = 3115370034
Least Common Multiple (LCM) of 55813 and 55818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55813 and 55818. First we will calculate the prime factors of 55813 and 55818.
Prime Factorization of 55813
Prime factors of 55813 are 55813. Prime factorization of 55813 in exponential form is:
55813 = 558131
Prime Factorization of 55818
Prime factors of 55818 are 2, 3, 7, 443. Prime factorization of 55818 in exponential form is:
55818 = 21 × 32 × 71 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 55813 and 55818.
LCM(55813,55818) = 558131 × 21 × 32 × 71 × 4431
LCM(55813,55818) = 3115370034
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