What is the Least Common Multiple of 69135 and 69139?
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 69135 and 69139 is 4779924765.
LCM(69135,69139) = 4779924765
Least Common Multiple of 69135 and 69139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69135 and 69139, than apply into the LCM equation.
GCF(69135,69139) = 1
LCM(69135,69139) = ( 69135 × 69139) / 1
LCM(69135,69139) = 4779924765 / 1
LCM(69135,69139) = 4779924765
Least Common Multiple (LCM) of 69135 and 69139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69135 and 69139. First we will calculate the prime factors of 69135 and 69139.
Prime Factorization of 69135
Prime factors of 69135 are 3, 5, 11, 419. Prime factorization of 69135 in exponential form is:
69135 = 31 × 51 × 111 × 4191
Prime Factorization of 69139
Prime factors of 69139 are 7, 17, 83. Prime factorization of 69139 in exponential form is:
69139 = 72 × 171 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 69135 and 69139.
LCM(69135,69139) = 31 × 51 × 111 × 4191 × 72 × 171 × 831
LCM(69135,69139) = 4779924765
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