What is the Least Common Multiple of 55050 and 55054?
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 55050 and 55054 is 1515361350.
LCM(55050,55054) = 1515361350
Least Common Multiple of 55050 and 55054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55050 and 55054, than apply into the LCM equation.
GCF(55050,55054) = 2
LCM(55050,55054) = ( 55050 × 55054) / 2
LCM(55050,55054) = 3030722700 / 2
LCM(55050,55054) = 1515361350
Least Common Multiple (LCM) of 55050 and 55054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55050 and 55054. First we will calculate the prime factors of 55050 and 55054.
Prime Factorization of 55050
Prime factors of 55050 are 2, 3, 5, 367. Prime factorization of 55050 in exponential form is:
55050 = 21 × 31 × 52 × 3671
Prime Factorization of 55054
Prime factors of 55054 are 2, 27527. Prime factorization of 55054 in exponential form is:
55054 = 21 × 275271
Now multiplying the highest exponent prime factors to calculate the LCM of 55050 and 55054.
LCM(55050,55054) = 21 × 31 × 52 × 3671 × 275271
LCM(55050,55054) = 1515361350
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