What is the Least Common Multiple of 67022 and 67041?
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 67022 and 67041 is 4493221902.
LCM(67022,67041) = 4493221902
Least Common Multiple of 67022 and 67041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67022 and 67041, than apply into the LCM equation.
GCF(67022,67041) = 1
LCM(67022,67041) = ( 67022 × 67041) / 1
LCM(67022,67041) = 4493221902 / 1
LCM(67022,67041) = 4493221902
Least Common Multiple (LCM) of 67022 and 67041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67022 and 67041. First we will calculate the prime factors of 67022 and 67041.
Prime Factorization of 67022
Prime factors of 67022 are 2, 23, 31, 47. Prime factorization of 67022 in exponential form is:
67022 = 21 × 231 × 311 × 471
Prime Factorization of 67041
Prime factors of 67041 are 3, 13, 191. Prime factorization of 67041 in exponential form is:
67041 = 33 × 131 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 67022 and 67041.
LCM(67022,67041) = 21 × 231 × 311 × 471 × 33 × 131 × 1911
LCM(67022,67041) = 4493221902
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