What is the Least Common Multiple of 55133 and 55149?
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 55133 and 55149 is 3040529817.
LCM(55133,55149) = 3040529817
Least Common Multiple of 55133 and 55149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55133 and 55149, than apply into the LCM equation.
GCF(55133,55149) = 1
LCM(55133,55149) = ( 55133 × 55149) / 1
LCM(55133,55149) = 3040529817 / 1
LCM(55133,55149) = 3040529817
Least Common Multiple (LCM) of 55133 and 55149 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55133 and 55149. First we will calculate the prime factors of 55133 and 55149.
Prime Factorization of 55133
Prime factors of 55133 are 13, 4241. Prime factorization of 55133 in exponential form is:
55133 = 131 × 42411
Prime Factorization of 55149
Prime factors of 55149 are 3, 31, 593. Prime factorization of 55149 in exponential form is:
55149 = 31 × 311 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 55133 and 55149.
LCM(55133,55149) = 131 × 42411 × 31 × 311 × 5931
LCM(55133,55149) = 3040529817
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