What is the Least Common Multiple of 67084 and 67094?
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 67084 and 67094 is 2250466948.
LCM(67084,67094) = 2250466948
Least Common Multiple of 67084 and 67094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67084 and 67094, than apply into the LCM equation.
GCF(67084,67094) = 2
LCM(67084,67094) = ( 67084 × 67094) / 2
LCM(67084,67094) = 4500933896 / 2
LCM(67084,67094) = 2250466948
Least Common Multiple (LCM) of 67084 and 67094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67084 and 67094. First we will calculate the prime factors of 67084 and 67094.
Prime Factorization of 67084
Prime factors of 67084 are 2, 31, 541. Prime factorization of 67084 in exponential form is:
67084 = 22 × 311 × 5411
Prime Factorization of 67094
Prime factors of 67094 are 2, 33547. Prime factorization of 67094 in exponential form is:
67094 = 21 × 335471
Now multiplying the highest exponent prime factors to calculate the LCM of 67084 and 67094.
LCM(67084,67094) = 22 × 311 × 5411 × 335471
LCM(67084,67094) = 2250466948
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