What is the Least Common Multiple of 34046 and 34055?
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 34046 and 34055 is 1159436530.
LCM(34046,34055) = 1159436530
Least Common Multiple of 34046 and 34055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34046 and 34055, than apply into the LCM equation.
GCF(34046,34055) = 1
LCM(34046,34055) = ( 34046 × 34055) / 1
LCM(34046,34055) = 1159436530 / 1
LCM(34046,34055) = 1159436530
Least Common Multiple (LCM) of 34046 and 34055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34046 and 34055. First we will calculate the prime factors of 34046 and 34055.
Prime Factorization of 34046
Prime factors of 34046 are 2, 29, 587. Prime factorization of 34046 in exponential form is:
34046 = 21 × 291 × 5871
Prime Factorization of 34055
Prime factors of 34055 are 5, 7, 139. Prime factorization of 34055 in exponential form is:
34055 = 51 × 72 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 34046 and 34055.
LCM(34046,34055) = 21 × 291 × 5871 × 51 × 72 × 1391
LCM(34046,34055) = 1159436530
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