What is the Least Common Multiple of 42787 and 42794?
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 42787 and 42794 is 1831026878.
LCM(42787,42794) = 1831026878
Least Common Multiple of 42787 and 42794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42787 and 42794, than apply into the LCM equation.
GCF(42787,42794) = 1
LCM(42787,42794) = ( 42787 × 42794) / 1
LCM(42787,42794) = 1831026878 / 1
LCM(42787,42794) = 1831026878
Least Common Multiple (LCM) of 42787 and 42794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42787 and 42794. First we will calculate the prime factors of 42787 and 42794.
Prime Factorization of 42787
Prime factors of 42787 are 42787. Prime factorization of 42787 in exponential form is:
42787 = 427871
Prime Factorization of 42794
Prime factors of 42794 are 2, 21397. Prime factorization of 42794 in exponential form is:
42794 = 21 × 213971
Now multiplying the highest exponent prime factors to calculate the LCM of 42787 and 42794.
LCM(42787,42794) = 427871 × 21 × 213971
LCM(42787,42794) = 1831026878
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