What is the Least Common Multiple of 54997 and 55009?
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 54997 and 55009 is 3025329973.
LCM(54997,55009) = 3025329973
Least Common Multiple of 54997 and 55009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54997 and 55009, than apply into the LCM equation.
GCF(54997,55009) = 1
LCM(54997,55009) = ( 54997 × 55009) / 1
LCM(54997,55009) = 3025329973 / 1
LCM(54997,55009) = 3025329973
Least Common Multiple (LCM) of 54997 and 55009 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54997 and 55009. First we will calculate the prime factors of 54997 and 55009.
Prime Factorization of 54997
Prime factors of 54997 are 43, 1279. Prime factorization of 54997 in exponential form is:
54997 = 431 × 12791
Prime Factorization of 55009
Prime factors of 55009 are 55009. Prime factorization of 55009 in exponential form is:
55009 = 550091
Now multiplying the highest exponent prime factors to calculate the LCM of 54997 and 55009.
LCM(54997,55009) = 431 × 12791 × 550091
LCM(54997,55009) = 3025329973
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