What is the Least Common Multiple of 84791 and 84811?
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 84791 and 84811 is 7191209501.
LCM(84791,84811) = 7191209501
Least Common Multiple of 84791 and 84811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84791 and 84811, than apply into the LCM equation.
GCF(84791,84811) = 1
LCM(84791,84811) = ( 84791 × 84811) / 1
LCM(84791,84811) = 7191209501 / 1
LCM(84791,84811) = 7191209501
Least Common Multiple (LCM) of 84791 and 84811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84791 and 84811. First we will calculate the prime factors of 84791 and 84811.
Prime Factorization of 84791
Prime factors of 84791 are 7, 12113. Prime factorization of 84791 in exponential form is:
84791 = 71 × 121131
Prime Factorization of 84811
Prime factors of 84811 are 84811. Prime factorization of 84811 in exponential form is:
84811 = 848111
Now multiplying the highest exponent prime factors to calculate the LCM of 84791 and 84811.
LCM(84791,84811) = 71 × 121131 × 848111
LCM(84791,84811) = 7191209501
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