What is the Least Common Multiple of 33781 and 33786?
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 33781 and 33786 is 1141324866.
LCM(33781,33786) = 1141324866
Least Common Multiple of 33781 and 33786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33781 and 33786, than apply into the LCM equation.
GCF(33781,33786) = 1
LCM(33781,33786) = ( 33781 × 33786) / 1
LCM(33781,33786) = 1141324866 / 1
LCM(33781,33786) = 1141324866
Least Common Multiple (LCM) of 33781 and 33786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33781 and 33786. First we will calculate the prime factors of 33781 and 33786.
Prime Factorization of 33781
Prime factors of 33781 are 11, 37, 83. Prime factorization of 33781 in exponential form is:
33781 = 111 × 371 × 831
Prime Factorization of 33786
Prime factors of 33786 are 2, 3, 1877. Prime factorization of 33786 in exponential form is:
33786 = 21 × 32 × 18771
Now multiplying the highest exponent prime factors to calculate the LCM of 33781 and 33786.
LCM(33781,33786) = 111 × 371 × 831 × 21 × 32 × 18771
LCM(33781,33786) = 1141324866
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