What is the Least Common Multiple of 55026 and 55033?
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 55026 and 55033 is 3028245858.
LCM(55026,55033) = 3028245858
Least Common Multiple of 55026 and 55033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55026 and 55033, than apply into the LCM equation.
GCF(55026,55033) = 1
LCM(55026,55033) = ( 55026 × 55033) / 1
LCM(55026,55033) = 3028245858 / 1
LCM(55026,55033) = 3028245858
Least Common Multiple (LCM) of 55026 and 55033 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55026 and 55033. First we will calculate the prime factors of 55026 and 55033.
Prime Factorization of 55026
Prime factors of 55026 are 2, 3, 1019. Prime factorization of 55026 in exponential form is:
55026 = 21 × 33 × 10191
Prime Factorization of 55033
Prime factors of 55033 are 11, 5003. Prime factorization of 55033 in exponential form is:
55033 = 111 × 50031
Now multiplying the highest exponent prime factors to calculate the LCM of 55026 and 55033.
LCM(55026,55033) = 21 × 33 × 10191 × 111 × 50031
LCM(55026,55033) = 3028245858
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