What is the Least Common Multiple of 84062 and 84081?
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 84062 and 84081 is 7068017022.
LCM(84062,84081) = 7068017022
Least Common Multiple of 84062 and 84081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84062 and 84081, than apply into the LCM equation.
GCF(84062,84081) = 1
LCM(84062,84081) = ( 84062 × 84081) / 1
LCM(84062,84081) = 7068017022 / 1
LCM(84062,84081) = 7068017022
Least Common Multiple (LCM) of 84062 and 84081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84062 and 84081. First we will calculate the prime factors of 84062 and 84081.
Prime Factorization of 84062
Prime factors of 84062 are 2, 11, 3821. Prime factorization of 84062 in exponential form is:
84062 = 21 × 111 × 38211
Prime Factorization of 84081
Prime factors of 84081 are 3, 28027. Prime factorization of 84081 in exponential form is:
84081 = 31 × 280271
Now multiplying the highest exponent prime factors to calculate the LCM of 84062 and 84081.
LCM(84062,84081) = 21 × 111 × 38211 × 31 × 280271
LCM(84062,84081) = 7068017022
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