What is the Least Common Multiple of 34162 and 34172?
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 34162 and 34172 is 583691932.
LCM(34162,34172) = 583691932
Least Common Multiple of 34162 and 34172 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34162 and 34172, than apply into the LCM equation.
GCF(34162,34172) = 2
LCM(34162,34172) = ( 34162 × 34172) / 2
LCM(34162,34172) = 1167383864 / 2
LCM(34162,34172) = 583691932
Least Common Multiple (LCM) of 34162 and 34172 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34162 and 34172. First we will calculate the prime factors of 34162 and 34172.
Prime Factorization of 34162
Prime factors of 34162 are 2, 19, 29, 31. Prime factorization of 34162 in exponential form is:
34162 = 21 × 191 × 291 × 311
Prime Factorization of 34172
Prime factors of 34172 are 2, 8543. Prime factorization of 34172 in exponential form is:
34172 = 22 × 85431
Now multiplying the highest exponent prime factors to calculate the LCM of 34162 and 34172.
LCM(34162,34172) = 22 × 191 × 291 × 311 × 85431
LCM(34162,34172) = 583691932
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