What is the Least Common Multiple of 49787 and 49794?
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 49787 and 49794 is 2479093878.
LCM(49787,49794) = 2479093878
Least Common Multiple of 49787 and 49794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49787 and 49794, than apply into the LCM equation.
GCF(49787,49794) = 1
LCM(49787,49794) = ( 49787 × 49794) / 1
LCM(49787,49794) = 2479093878 / 1
LCM(49787,49794) = 2479093878
Least Common Multiple (LCM) of 49787 and 49794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49787 and 49794. First we will calculate the prime factors of 49787 and 49794.
Prime Factorization of 49787
Prime factors of 49787 are 49787. Prime factorization of 49787 in exponential form is:
49787 = 497871
Prime Factorization of 49794
Prime factors of 49794 are 2, 3, 43, 193. Prime factorization of 49794 in exponential form is:
49794 = 21 × 31 × 431 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 49787 and 49794.
LCM(49787,49794) = 497871 × 21 × 31 × 431 × 1931
LCM(49787,49794) = 2479093878
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