What is the Least Common Multiple of 84017 and 84037?
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 84017 and 84037 is 7060536629.
LCM(84017,84037) = 7060536629
Least Common Multiple of 84017 and 84037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84017 and 84037, than apply into the LCM equation.
GCF(84017,84037) = 1
LCM(84017,84037) = ( 84017 × 84037) / 1
LCM(84017,84037) = 7060536629 / 1
LCM(84017,84037) = 7060536629
Least Common Multiple (LCM) of 84017 and 84037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84017 and 84037. First we will calculate the prime factors of 84017 and 84037.
Prime Factorization of 84017
Prime factors of 84017 are 84017. Prime factorization of 84017 in exponential form is:
84017 = 840171
Prime Factorization of 84037
Prime factors of 84037 are 19, 4423. Prime factorization of 84037 in exponential form is:
84037 = 191 × 44231
Now multiplying the highest exponent prime factors to calculate the LCM of 84017 and 84037.
LCM(84017,84037) = 840171 × 191 × 44231
LCM(84017,84037) = 7060536629
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