What is the Least Common Multiple of 34062 and 34067?
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 34062 and 34067 is 1160390154.
LCM(34062,34067) = 1160390154
Least Common Multiple of 34062 and 34067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34062 and 34067, than apply into the LCM equation.
GCF(34062,34067) = 1
LCM(34062,34067) = ( 34062 × 34067) / 1
LCM(34062,34067) = 1160390154 / 1
LCM(34062,34067) = 1160390154
Least Common Multiple (LCM) of 34062 and 34067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34062 and 34067. First we will calculate the prime factors of 34062 and 34067.
Prime Factorization of 34062
Prime factors of 34062 are 2, 3, 7, 811. Prime factorization of 34062 in exponential form is:
34062 = 21 × 31 × 71 × 8111
Prime Factorization of 34067
Prime factors of 34067 are 11, 19, 163. Prime factorization of 34067 in exponential form is:
34067 = 111 × 191 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 34062 and 34067.
LCM(34062,34067) = 21 × 31 × 71 × 8111 × 111 × 191 × 1631
LCM(34062,34067) = 1160390154
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