What is the Least Common Multiple of 51037 and 51043?
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 51037 and 51043 is 2605081591.
LCM(51037,51043) = 2605081591
Least Common Multiple of 51037 and 51043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51037 and 51043, than apply into the LCM equation.
GCF(51037,51043) = 1
LCM(51037,51043) = ( 51037 × 51043) / 1
LCM(51037,51043) = 2605081591 / 1
LCM(51037,51043) = 2605081591
Least Common Multiple (LCM) of 51037 and 51043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51037 and 51043. First we will calculate the prime factors of 51037 and 51043.
Prime Factorization of 51037
Prime factors of 51037 are 7, 23, 317. Prime factorization of 51037 in exponential form is:
51037 = 71 × 231 × 3171
Prime Factorization of 51043
Prime factors of 51043 are 51043. Prime factorization of 51043 in exponential form is:
51043 = 510431
Now multiplying the highest exponent prime factors to calculate the LCM of 51037 and 51043.
LCM(51037,51043) = 71 × 231 × 3171 × 510431
LCM(51037,51043) = 2605081591
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Related Least Common Multiples of 51043
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