What is the Least Common Multiple of 67211 and 67226?
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 67211 and 67226 is 4518326686.
LCM(67211,67226) = 4518326686
Least Common Multiple of 67211 and 67226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67211 and 67226, than apply into the LCM equation.
GCF(67211,67226) = 1
LCM(67211,67226) = ( 67211 × 67226) / 1
LCM(67211,67226) = 4518326686 / 1
LCM(67211,67226) = 4518326686
Least Common Multiple (LCM) of 67211 and 67226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67211 and 67226. First we will calculate the prime factors of 67211 and 67226.
Prime Factorization of 67211
Prime factors of 67211 are 67211. Prime factorization of 67211 in exponential form is:
67211 = 672111
Prime Factorization of 67226
Prime factors of 67226 are 2, 33613. Prime factorization of 67226 in exponential form is:
67226 = 21 × 336131
Now multiplying the highest exponent prime factors to calculate the LCM of 67211 and 67226.
LCM(67211,67226) = 672111 × 21 × 336131
LCM(67211,67226) = 4518326686
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