What is the Least Common Multiple of 33161 and 33169?
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 33161 and 33169 is 1099917209.
LCM(33161,33169) = 1099917209
Least Common Multiple of 33161 and 33169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33161 and 33169, than apply into the LCM equation.
GCF(33161,33169) = 1
LCM(33161,33169) = ( 33161 × 33169) / 1
LCM(33161,33169) = 1099917209 / 1
LCM(33161,33169) = 1099917209
Least Common Multiple (LCM) of 33161 and 33169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33161 and 33169. First we will calculate the prime factors of 33161 and 33169.
Prime Factorization of 33161
Prime factors of 33161 are 33161. Prime factorization of 33161 in exponential form is:
33161 = 331611
Prime Factorization of 33169
Prime factors of 33169 are 41, 809. Prime factorization of 33169 in exponential form is:
33169 = 411 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 33161 and 33169.
LCM(33161,33169) = 331611 × 411 × 8091
LCM(33161,33169) = 1099917209
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