What is the Least Common Multiple of 55033 and 55045?
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 55033 and 55045 is 3029291485.
LCM(55033,55045) = 3029291485
Least Common Multiple of 55033 and 55045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55033 and 55045, than apply into the LCM equation.
GCF(55033,55045) = 1
LCM(55033,55045) = ( 55033 × 55045) / 1
LCM(55033,55045) = 3029291485 / 1
LCM(55033,55045) = 3029291485
Least Common Multiple (LCM) of 55033 and 55045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55033 and 55045. First we will calculate the prime factors of 55033 and 55045.
Prime Factorization of 55033
Prime factors of 55033 are 11, 5003. Prime factorization of 55033 in exponential form is:
55033 = 111 × 50031
Prime Factorization of 55045
Prime factors of 55045 are 5, 101, 109. Prime factorization of 55045 in exponential form is:
55045 = 51 × 1011 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 55033 and 55045.
LCM(55033,55045) = 111 × 50031 × 51 × 1011 × 1091
LCM(55033,55045) = 3029291485
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