What is the Least Common Multiple of 32161 and 32168?
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 32161 and 32168 is 1034555048.
LCM(32161,32168) = 1034555048
Least Common Multiple of 32161 and 32168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32161 and 32168, than apply into the LCM equation.
GCF(32161,32168) = 1
LCM(32161,32168) = ( 32161 × 32168) / 1
LCM(32161,32168) = 1034555048 / 1
LCM(32161,32168) = 1034555048
Least Common Multiple (LCM) of 32161 and 32168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32161 and 32168. First we will calculate the prime factors of 32161 and 32168.
Prime Factorization of 32161
Prime factors of 32161 are 29, 1109. Prime factorization of 32161 in exponential form is:
32161 = 291 × 11091
Prime Factorization of 32168
Prime factors of 32168 are 2, 4021. Prime factorization of 32168 in exponential form is:
32168 = 23 × 40211
Now multiplying the highest exponent prime factors to calculate the LCM of 32161 and 32168.
LCM(32161,32168) = 291 × 11091 × 23 × 40211
LCM(32161,32168) = 1034555048
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