What is the Least Common Multiple of 55203 and 55221?
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 55203 and 55221 is 1016121621.
LCM(55203,55221) = 1016121621
Least Common Multiple of 55203 and 55221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55203 and 55221, than apply into the LCM equation.
GCF(55203,55221) = 3
LCM(55203,55221) = ( 55203 × 55221) / 3
LCM(55203,55221) = 3048364863 / 3
LCM(55203,55221) = 1016121621
Least Common Multiple (LCM) of 55203 and 55221 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55203 and 55221. First we will calculate the prime factors of 55203 and 55221.
Prime Factorization of 55203
Prime factors of 55203 are 3, 18401. Prime factorization of 55203 in exponential form is:
55203 = 31 × 184011
Prime Factorization of 55221
Prime factors of 55221 are 3, 79, 233. Prime factorization of 55221 in exponential form is:
55221 = 31 × 791 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 55203 and 55221.
LCM(55203,55221) = 31 × 184011 × 791 × 2331
LCM(55203,55221) = 1016121621
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