What is the Least Common Multiple of 84182 and 84201?
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 84182 and 84201 is 7088208582.
LCM(84182,84201) = 7088208582
Least Common Multiple of 84182 and 84201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84182 and 84201, than apply into the LCM equation.
GCF(84182,84201) = 1
LCM(84182,84201) = ( 84182 × 84201) / 1
LCM(84182,84201) = 7088208582 / 1
LCM(84182,84201) = 7088208582
Least Common Multiple (LCM) of 84182 and 84201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84182 and 84201. First we will calculate the prime factors of 84182 and 84201.
Prime Factorization of 84182
Prime factors of 84182 are 2, 7, 859. Prime factorization of 84182 in exponential form is:
84182 = 21 × 72 × 8591
Prime Factorization of 84201
Prime factors of 84201 are 3, 13, 17, 127. Prime factorization of 84201 in exponential form is:
84201 = 31 × 131 × 171 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 84182 and 84201.
LCM(84182,84201) = 21 × 72 × 8591 × 31 × 131 × 171 × 1271
LCM(84182,84201) = 7088208582
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