What is the Least Common Multiple of 22084 and 22094?
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 22084 and 22094 is 243961948.
LCM(22084,22094) = 243961948
Least Common Multiple of 22084 and 22094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22084 and 22094, than apply into the LCM equation.
GCF(22084,22094) = 2
LCM(22084,22094) = ( 22084 × 22094) / 2
LCM(22084,22094) = 487923896 / 2
LCM(22084,22094) = 243961948
Least Common Multiple (LCM) of 22084 and 22094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22084 and 22094. First we will calculate the prime factors of 22084 and 22094.
Prime Factorization of 22084
Prime factors of 22084 are 2, 5521. Prime factorization of 22084 in exponential form is:
22084 = 22 × 55211
Prime Factorization of 22094
Prime factors of 22094 are 2, 11047. Prime factorization of 22094 in exponential form is:
22094 = 21 × 110471
Now multiplying the highest exponent prime factors to calculate the LCM of 22084 and 22094.
LCM(22084,22094) = 22 × 55211 × 110471
LCM(22084,22094) = 243961948
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