What is the Least Common Multiple of 34129 and 34146?
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 34129 and 34146 is 1165368834.
LCM(34129,34146) = 1165368834
Least Common Multiple of 34129 and 34146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34129 and 34146, than apply into the LCM equation.
GCF(34129,34146) = 1
LCM(34129,34146) = ( 34129 × 34146) / 1
LCM(34129,34146) = 1165368834 / 1
LCM(34129,34146) = 1165368834
Least Common Multiple (LCM) of 34129 and 34146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34129 and 34146. First we will calculate the prime factors of 34129 and 34146.
Prime Factorization of 34129
Prime factors of 34129 are 34129. Prime factorization of 34129 in exponential form is:
34129 = 341291
Prime Factorization of 34146
Prime factors of 34146 are 2, 3, 7, 271. Prime factorization of 34146 in exponential form is:
34146 = 21 × 32 × 71 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 34129 and 34146.
LCM(34129,34146) = 341291 × 21 × 32 × 71 × 2711
LCM(34129,34146) = 1165368834
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