What is the Least Common Multiple of 11073 and 11086?
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 11073 and 11086 is 122755278.
LCM(11073,11086) = 122755278
Least Common Multiple of 11073 and 11086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11073 and 11086, than apply into the LCM equation.
GCF(11073,11086) = 1
LCM(11073,11086) = ( 11073 × 11086) / 1
LCM(11073,11086) = 122755278 / 1
LCM(11073,11086) = 122755278
Least Common Multiple (LCM) of 11073 and 11086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11073 and 11086. First we will calculate the prime factors of 11073 and 11086.
Prime Factorization of 11073
Prime factors of 11073 are 3, 3691. Prime factorization of 11073 in exponential form is:
11073 = 31 × 36911
Prime Factorization of 11086
Prime factors of 11086 are 2, 23, 241. Prime factorization of 11086 in exponential form is:
11086 = 21 × 231 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 11073 and 11086.
LCM(11073,11086) = 31 × 36911 × 21 × 231 × 2411
LCM(11073,11086) = 122755278
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