What is the Least Common Multiple of 51047 and 51067?
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 51047 and 51067 is 2606817149.
LCM(51047,51067) = 2606817149
Least Common Multiple of 51047 and 51067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51047 and 51067, than apply into the LCM equation.
GCF(51047,51067) = 1
LCM(51047,51067) = ( 51047 × 51067) / 1
LCM(51047,51067) = 2606817149 / 1
LCM(51047,51067) = 2606817149
Least Common Multiple (LCM) of 51047 and 51067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51047 and 51067. First we will calculate the prime factors of 51047 and 51067.
Prime Factorization of 51047
Prime factors of 51047 are 51047. Prime factorization of 51047 in exponential form is:
51047 = 510471
Prime Factorization of 51067
Prime factors of 51067 are 223, 229. Prime factorization of 51067 in exponential form is:
51067 = 2231 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 51047 and 51067.
LCM(51047,51067) = 510471 × 2231 × 2291
LCM(51047,51067) = 2606817149
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