What is the Least Common Multiple of 34061 and 34073?
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 34061 and 34073 is 1160560453.
LCM(34061,34073) = 1160560453
Least Common Multiple of 34061 and 34073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34061 and 34073, than apply into the LCM equation.
GCF(34061,34073) = 1
LCM(34061,34073) = ( 34061 × 34073) / 1
LCM(34061,34073) = 1160560453 / 1
LCM(34061,34073) = 1160560453
Least Common Multiple (LCM) of 34061 and 34073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34061 and 34073. First we will calculate the prime factors of 34061 and 34073.
Prime Factorization of 34061
Prime factors of 34061 are 34061. Prime factorization of 34061 in exponential form is:
34061 = 340611
Prime Factorization of 34073
Prime factors of 34073 are 13, 2621. Prime factorization of 34073 in exponential form is:
34073 = 131 × 26211
Now multiplying the highest exponent prime factors to calculate the LCM of 34061 and 34073.
LCM(34061,34073) = 340611 × 131 × 26211
LCM(34061,34073) = 1160560453
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