What is the Least Common Multiple of 12088 and 12099?
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 12088 and 12099 is 146252712.
LCM(12088,12099) = 146252712
Least Common Multiple of 12088 and 12099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12088 and 12099, than apply into the LCM equation.
GCF(12088,12099) = 1
LCM(12088,12099) = ( 12088 × 12099) / 1
LCM(12088,12099) = 146252712 / 1
LCM(12088,12099) = 146252712
Least Common Multiple (LCM) of 12088 and 12099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12088 and 12099. First we will calculate the prime factors of 12088 and 12099.
Prime Factorization of 12088
Prime factors of 12088 are 2, 1511. Prime factorization of 12088 in exponential form is:
12088 = 23 × 15111
Prime Factorization of 12099
Prime factors of 12099 are 3, 37, 109. Prime factorization of 12099 in exponential form is:
12099 = 31 × 371 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 12088 and 12099.
LCM(12088,12099) = 23 × 15111 × 31 × 371 × 1091
LCM(12088,12099) = 146252712
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