What is the Least Common Multiple of 67311 and 67322?
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 67311 and 67322 is 4531511142.
LCM(67311,67322) = 4531511142
Least Common Multiple of 67311 and 67322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67311 and 67322, than apply into the LCM equation.
GCF(67311,67322) = 1
LCM(67311,67322) = ( 67311 × 67322) / 1
LCM(67311,67322) = 4531511142 / 1
LCM(67311,67322) = 4531511142
Least Common Multiple (LCM) of 67311 and 67322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67311 and 67322. First we will calculate the prime factors of 67311 and 67322.
Prime Factorization of 67311
Prime factors of 67311 are 3, 277. Prime factorization of 67311 in exponential form is:
67311 = 35 × 2771
Prime Factorization of 67322
Prime factors of 67322 are 2, 41, 821. Prime factorization of 67322 in exponential form is:
67322 = 21 × 411 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 67311 and 67322.
LCM(67311,67322) = 35 × 2771 × 21 × 411 × 8211
LCM(67311,67322) = 4531511142
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