What is the Least Common Multiple of 55010 and 55018?
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 55010 and 55018 is 1513270090.
LCM(55010,55018) = 1513270090
Least Common Multiple of 55010 and 55018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55010 and 55018, than apply into the LCM equation.
GCF(55010,55018) = 2
LCM(55010,55018) = ( 55010 × 55018) / 2
LCM(55010,55018) = 3026540180 / 2
LCM(55010,55018) = 1513270090
Least Common Multiple (LCM) of 55010 and 55018 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55010 and 55018. First we will calculate the prime factors of 55010 and 55018.
Prime Factorization of 55010
Prime factors of 55010 are 2, 5, 5501. Prime factorization of 55010 in exponential form is:
55010 = 21 × 51 × 55011
Prime Factorization of 55018
Prime factors of 55018 are 2, 27509. Prime factorization of 55018 in exponential form is:
55018 = 21 × 275091
Now multiplying the highest exponent prime factors to calculate the LCM of 55010 and 55018.
LCM(55010,55018) = 21 × 51 × 55011 × 275091
LCM(55010,55018) = 1513270090
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