What is the Least Common Multiple of 84161 and 84176?
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 84161 and 84176 is 7084336336.
LCM(84161,84176) = 7084336336
Least Common Multiple of 84161 and 84176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84161 and 84176, than apply into the LCM equation.
GCF(84161,84176) = 1
LCM(84161,84176) = ( 84161 × 84176) / 1
LCM(84161,84176) = 7084336336 / 1
LCM(84161,84176) = 7084336336
Least Common Multiple (LCM) of 84161 and 84176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84161 and 84176. First we will calculate the prime factors of 84161 and 84176.
Prime Factorization of 84161
Prime factors of 84161 are 7, 11, 1093. Prime factorization of 84161 in exponential form is:
84161 = 71 × 111 × 10931
Prime Factorization of 84176
Prime factors of 84176 are 2, 5261. Prime factorization of 84176 in exponential form is:
84176 = 24 × 52611
Now multiplying the highest exponent prime factors to calculate the LCM of 84161 and 84176.
LCM(84161,84176) = 71 × 111 × 10931 × 24 × 52611
LCM(84161,84176) = 7084336336
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