What is the Least Common Multiple of 84293 and 84306?
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 84293 and 84306 is 7106405658.
LCM(84293,84306) = 7106405658
Least Common Multiple of 84293 and 84306 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84293 and 84306, than apply into the LCM equation.
GCF(84293,84306) = 1
LCM(84293,84306) = ( 84293 × 84306) / 1
LCM(84293,84306) = 7106405658 / 1
LCM(84293,84306) = 7106405658
Least Common Multiple (LCM) of 84293 and 84306 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84293 and 84306. First we will calculate the prime factors of 84293 and 84306.
Prime Factorization of 84293
Prime factors of 84293 are 11, 79, 97. Prime factorization of 84293 in exponential form is:
84293 = 111 × 791 × 971
Prime Factorization of 84306
Prime factors of 84306 are 2, 3, 14051. Prime factorization of 84306 in exponential form is:
84306 = 21 × 31 × 140511
Now multiplying the highest exponent prime factors to calculate the LCM of 84293 and 84306.
LCM(84293,84306) = 111 × 791 × 971 × 21 × 31 × 140511
LCM(84293,84306) = 7106405658
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