What is the Least Common Multiple of 54551 and 54569?
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 54551 and 54569 is 2976793519.
LCM(54551,54569) = 2976793519
Least Common Multiple of 54551 and 54569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54551 and 54569, than apply into the LCM equation.
GCF(54551,54569) = 1
LCM(54551,54569) = ( 54551 × 54569) / 1
LCM(54551,54569) = 2976793519 / 1
LCM(54551,54569) = 2976793519
Least Common Multiple (LCM) of 54551 and 54569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54551 and 54569. First we will calculate the prime factors of 54551 and 54569.
Prime Factorization of 54551
Prime factors of 54551 are 7, 7793. Prime factorization of 54551 in exponential form is:
54551 = 71 × 77931
Prime Factorization of 54569
Prime factors of 54569 are 197, 277. Prime factorization of 54569 in exponential form is:
54569 = 1971 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 54551 and 54569.
LCM(54551,54569) = 71 × 77931 × 1971 × 2771
LCM(54551,54569) = 2976793519
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