What is the Least Common Multiple of 42853 and 42866?
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 42853 and 42866 is 1836936698.
LCM(42853,42866) = 1836936698
Least Common Multiple of 42853 and 42866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42853 and 42866, than apply into the LCM equation.
GCF(42853,42866) = 1
LCM(42853,42866) = ( 42853 × 42866) / 1
LCM(42853,42866) = 1836936698 / 1
LCM(42853,42866) = 1836936698
Least Common Multiple (LCM) of 42853 and 42866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42853 and 42866. First we will calculate the prime factors of 42853 and 42866.
Prime Factorization of 42853
Prime factors of 42853 are 42853. Prime factorization of 42853 in exponential form is:
42853 = 428531
Prime Factorization of 42866
Prime factors of 42866 are 2, 21433. Prime factorization of 42866 in exponential form is:
42866 = 21 × 214331
Now multiplying the highest exponent prime factors to calculate the LCM of 42853 and 42866.
LCM(42853,42866) = 428531 × 21 × 214331
LCM(42853,42866) = 1836936698
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