What is the Least Common Multiple of 69151 and 69155?
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 69151 and 69155 is 4782137405.
LCM(69151,69155) = 4782137405
Least Common Multiple of 69151 and 69155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69151 and 69155, than apply into the LCM equation.
GCF(69151,69155) = 1
LCM(69151,69155) = ( 69151 × 69155) / 1
LCM(69151,69155) = 4782137405 / 1
LCM(69151,69155) = 4782137405
Least Common Multiple (LCM) of 69151 and 69155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69151 and 69155. First we will calculate the prime factors of 69151 and 69155.
Prime Factorization of 69151
Prime factors of 69151 are 69151. Prime factorization of 69151 in exponential form is:
69151 = 691511
Prime Factorization of 69155
Prime factors of 69155 are 5, 13831. Prime factorization of 69155 in exponential form is:
69155 = 51 × 138311
Now multiplying the highest exponent prime factors to calculate the LCM of 69151 and 69155.
LCM(69151,69155) = 691511 × 51 × 138311
LCM(69151,69155) = 4782137405
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