What is the Least Common Multiple of 84767 and 84786?
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 84767 and 84786 is 7187054862.
LCM(84767,84786) = 7187054862
Least Common Multiple of 84767 and 84786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84767 and 84786, than apply into the LCM equation.
GCF(84767,84786) = 1
LCM(84767,84786) = ( 84767 × 84786) / 1
LCM(84767,84786) = 7187054862 / 1
LCM(84767,84786) = 7187054862
Least Common Multiple (LCM) of 84767 and 84786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84767 and 84786. First we will calculate the prime factors of 84767 and 84786.
Prime Factorization of 84767
Prime factors of 84767 are 29, 37, 79. Prime factorization of 84767 in exponential form is:
84767 = 291 × 371 × 791
Prime Factorization of 84786
Prime factors of 84786 are 2, 3, 13, 1087. Prime factorization of 84786 in exponential form is:
84786 = 21 × 31 × 131 × 10871
Now multiplying the highest exponent prime factors to calculate the LCM of 84767 and 84786.
LCM(84767,84786) = 291 × 371 × 791 × 21 × 31 × 131 × 10871
LCM(84767,84786) = 7187054862
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