What is the Least Common Multiple of 34155 and 34159?
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 34155 and 34159 is 1166700645.
LCM(34155,34159) = 1166700645
Least Common Multiple of 34155 and 34159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34155 and 34159, than apply into the LCM equation.
GCF(34155,34159) = 1
LCM(34155,34159) = ( 34155 × 34159) / 1
LCM(34155,34159) = 1166700645 / 1
LCM(34155,34159) = 1166700645
Least Common Multiple (LCM) of 34155 and 34159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34155 and 34159. First we will calculate the prime factors of 34155 and 34159.
Prime Factorization of 34155
Prime factors of 34155 are 3, 5, 11, 23. Prime factorization of 34155 in exponential form is:
34155 = 33 × 51 × 111 × 231
Prime Factorization of 34159
Prime factors of 34159 are 34159. Prime factorization of 34159 in exponential form is:
34159 = 341591
Now multiplying the highest exponent prime factors to calculate the LCM of 34155 and 34159.
LCM(34155,34159) = 33 × 51 × 111 × 231 × 341591
LCM(34155,34159) = 1166700645
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