What is the Least Common Multiple of 54943 and 54955?
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 54943 and 54955 is 3019392565.
LCM(54943,54955) = 3019392565
Least Common Multiple of 54943 and 54955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54943 and 54955, than apply into the LCM equation.
GCF(54943,54955) = 1
LCM(54943,54955) = ( 54943 × 54955) / 1
LCM(54943,54955) = 3019392565 / 1
LCM(54943,54955) = 3019392565
Least Common Multiple (LCM) of 54943 and 54955 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54943 and 54955. First we will calculate the prime factors of 54943 and 54955.
Prime Factorization of 54943
Prime factors of 54943 are 7, 47, 167. Prime factorization of 54943 in exponential form is:
54943 = 71 × 471 × 1671
Prime Factorization of 54955
Prime factors of 54955 are 5, 29, 379. Prime factorization of 54955 in exponential form is:
54955 = 51 × 291 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 54943 and 54955.
LCM(54943,54955) = 71 × 471 × 1671 × 51 × 291 × 3791
LCM(54943,54955) = 3019392565
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