What is the Least Common Multiple of 84818 and 84826?
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 84818 and 84826 is 3597385834.
LCM(84818,84826) = 3597385834
Least Common Multiple of 84818 and 84826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84818 and 84826, than apply into the LCM equation.
GCF(84818,84826) = 2
LCM(84818,84826) = ( 84818 × 84826) / 2
LCM(84818,84826) = 7194771668 / 2
LCM(84818,84826) = 3597385834
Least Common Multiple (LCM) of 84818 and 84826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84818 and 84826. First we will calculate the prime factors of 84818 and 84826.
Prime Factorization of 84818
Prime factors of 84818 are 2, 42409. Prime factorization of 84818 in exponential form is:
84818 = 21 × 424091
Prime Factorization of 84826
Prime factors of 84826 are 2, 7, 73, 83. Prime factorization of 84826 in exponential form is:
84826 = 21 × 71 × 731 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 84818 and 84826.
LCM(84818,84826) = 21 × 424091 × 71 × 731 × 831
LCM(84818,84826) = 3597385834
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