What is the Least Common Multiple of 69085 and 69089?
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 69085 and 69089 is 4773013565.
LCM(69085,69089) = 4773013565
Least Common Multiple of 69085 and 69089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69085 and 69089, than apply into the LCM equation.
GCF(69085,69089) = 1
LCM(69085,69089) = ( 69085 × 69089) / 1
LCM(69085,69089) = 4773013565 / 1
LCM(69085,69089) = 4773013565
Least Common Multiple (LCM) of 69085 and 69089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69085 and 69089. First we will calculate the prime factors of 69085 and 69089.
Prime Factorization of 69085
Prime factors of 69085 are 5, 41, 337. Prime factorization of 69085 in exponential form is:
69085 = 51 × 411 × 3371
Prime Factorization of 69089
Prime factors of 69089 are 59, 1171. Prime factorization of 69089 in exponential form is:
69089 = 591 × 11711
Now multiplying the highest exponent prime factors to calculate the LCM of 69085 and 69089.
LCM(69085,69089) = 51 × 411 × 3371 × 591 × 11711
LCM(69085,69089) = 4773013565
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