What is the Least Common Multiple of 84425 and 84433?
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 84425 and 84433 is 7128256025.
LCM(84425,84433) = 7128256025
Least Common Multiple of 84425 and 84433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84425 and 84433, than apply into the LCM equation.
GCF(84425,84433) = 1
LCM(84425,84433) = ( 84425 × 84433) / 1
LCM(84425,84433) = 7128256025 / 1
LCM(84425,84433) = 7128256025
Least Common Multiple (LCM) of 84425 and 84433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84425 and 84433. First we will calculate the prime factors of 84425 and 84433.
Prime Factorization of 84425
Prime factors of 84425 are 5, 11, 307. Prime factorization of 84425 in exponential form is:
84425 = 52 × 111 × 3071
Prime Factorization of 84433
Prime factors of 84433 are 23, 3671. Prime factorization of 84433 in exponential form is:
84433 = 231 × 36711
Now multiplying the highest exponent prime factors to calculate the LCM of 84425 and 84433.
LCM(84425,84433) = 52 × 111 × 3071 × 231 × 36711
LCM(84425,84433) = 7128256025
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