What is the Least Common Multiple of 84433 and 84440?
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 84433 and 84440 is 7129522520.
LCM(84433,84440) = 7129522520
Least Common Multiple of 84433 and 84440 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84433 and 84440, than apply into the LCM equation.
GCF(84433,84440) = 1
LCM(84433,84440) = ( 84433 × 84440) / 1
LCM(84433,84440) = 7129522520 / 1
LCM(84433,84440) = 7129522520
Least Common Multiple (LCM) of 84433 and 84440 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84433 and 84440. First we will calculate the prime factors of 84433 and 84440.
Prime Factorization of 84433
Prime factors of 84433 are 23, 3671. Prime factorization of 84433 in exponential form is:
84433 = 231 × 36711
Prime Factorization of 84440
Prime factors of 84440 are 2, 5, 2111. Prime factorization of 84440 in exponential form is:
84440 = 23 × 51 × 21111
Now multiplying the highest exponent prime factors to calculate the LCM of 84433 and 84440.
LCM(84433,84440) = 231 × 36711 × 23 × 51 × 21111
LCM(84433,84440) = 7129522520
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