What is the Least Common Multiple of 55054 and 55067?
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 55054 and 55067 is 3031658618.
LCM(55054,55067) = 3031658618
Least Common Multiple of 55054 and 55067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55054 and 55067, than apply into the LCM equation.
GCF(55054,55067) = 1
LCM(55054,55067) = ( 55054 × 55067) / 1
LCM(55054,55067) = 3031658618 / 1
LCM(55054,55067) = 3031658618
Least Common Multiple (LCM) of 55054 and 55067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55054 and 55067. First we will calculate the prime factors of 55054 and 55067.
Prime Factorization of 55054
Prime factors of 55054 are 2, 27527. Prime factorization of 55054 in exponential form is:
55054 = 21 × 275271
Prime Factorization of 55067
Prime factors of 55067 are 53, 1039. Prime factorization of 55067 in exponential form is:
55067 = 531 × 10391
Now multiplying the highest exponent prime factors to calculate the LCM of 55054 and 55067.
LCM(55054,55067) = 21 × 275271 × 531 × 10391
LCM(55054,55067) = 3031658618
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