What is the Least Common Multiple of 55163 and 55182?
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 55163 and 55182 is 3044004666.
LCM(55163,55182) = 3044004666
Least Common Multiple of 55163 and 55182 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55163 and 55182, than apply into the LCM equation.
GCF(55163,55182) = 1
LCM(55163,55182) = ( 55163 × 55182) / 1
LCM(55163,55182) = 3044004666 / 1
LCM(55163,55182) = 3044004666
Least Common Multiple (LCM) of 55163 and 55182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55163 and 55182. First we will calculate the prime factors of 55163 and 55182.
Prime Factorization of 55163
Prime factors of 55163 are 55163. Prime factorization of 55163 in exponential form is:
55163 = 551631
Prime Factorization of 55182
Prime factors of 55182 are 2, 3, 17, 541. Prime factorization of 55182 in exponential form is:
55182 = 21 × 31 × 171 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 55163 and 55182.
LCM(55163,55182) = 551631 × 21 × 31 × 171 × 5411
LCM(55163,55182) = 3044004666
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