What is the Least Common Multiple of 84161 and 84167?
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 84167 is 7083578887.
LCM(84161,84167) = 7083578887
Least Common Multiple of 84161 and 84167 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 84167, than apply into the LCM equation.
GCF(84161,84167) = 1
LCM(84161,84167) = ( 84161 × 84167) / 1
LCM(84161,84167) = 7083578887 / 1
LCM(84161,84167) = 7083578887
Least Common Multiple (LCM) of 84161 and 84167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84161 and 84167. First we will calculate the prime factors of 84161 and 84167.
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 84167
Prime factors of 84167 are 17, 4951. Prime factorization of 84167 in exponential form is:
84167 = 171 × 49511
Now multiplying the highest exponent prime factors to calculate the LCM of 84161 and 84167.
LCM(84161,84167) = 71 × 111 × 10931 × 171 × 49511
LCM(84161,84167) = 7083578887
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