What is the Least Common Multiple of 69155 and 69161?
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 69155 and 69161 is 4782828955.
LCM(69155,69161) = 4782828955
Least Common Multiple of 69155 and 69161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69155 and 69161, than apply into the LCM equation.
GCF(69155,69161) = 1
LCM(69155,69161) = ( 69155 × 69161) / 1
LCM(69155,69161) = 4782828955 / 1
LCM(69155,69161) = 4782828955
Least Common Multiple (LCM) of 69155 and 69161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69155 and 69161. First we will calculate the prime factors of 69155 and 69161.
Prime Factorization of 69155
Prime factors of 69155 are 5, 13831. Prime factorization of 69155 in exponential form is:
69155 = 51 × 138311
Prime Factorization of 69161
Prime factors of 69161 are 23, 31, 97. Prime factorization of 69161 in exponential form is:
69161 = 231 × 311 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 69155 and 69161.
LCM(69155,69161) = 51 × 138311 × 231 × 311 × 971
LCM(69155,69161) = 4782828955
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