What is the Least Common Multiple of 84817 and 84837?
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 84817 and 84837 is 7195619829.
LCM(84817,84837) = 7195619829
Least Common Multiple of 84817 and 84837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84817 and 84837, than apply into the LCM equation.
GCF(84817,84837) = 1
LCM(84817,84837) = ( 84817 × 84837) / 1
LCM(84817,84837) = 7195619829 / 1
LCM(84817,84837) = 7195619829
Least Common Multiple (LCM) of 84817 and 84837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84817 and 84837. First we will calculate the prime factors of 84817 and 84837.
Prime Factorization of 84817
Prime factors of 84817 are 89, 953. Prime factorization of 84817 in exponential form is:
84817 = 891 × 9531
Prime Factorization of 84837
Prime factors of 84837 are 3, 28279. Prime factorization of 84837 in exponential form is:
84837 = 31 × 282791
Now multiplying the highest exponent prime factors to calculate the LCM of 84817 and 84837.
LCM(84817,84837) = 891 × 9531 × 31 × 282791
LCM(84817,84837) = 7195619829
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