What is the Least Common Multiple of 12032 and 12046?
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 12032 and 12046 is 72468736.
LCM(12032,12046) = 72468736
Least Common Multiple of 12032 and 12046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12032 and 12046, than apply into the LCM equation.
GCF(12032,12046) = 2
LCM(12032,12046) = ( 12032 × 12046) / 2
LCM(12032,12046) = 144937472 / 2
LCM(12032,12046) = 72468736
Least Common Multiple (LCM) of 12032 and 12046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12032 and 12046. First we will calculate the prime factors of 12032 and 12046.
Prime Factorization of 12032
Prime factors of 12032 are 2, 47. Prime factorization of 12032 in exponential form is:
12032 = 28 × 471
Prime Factorization of 12046
Prime factors of 12046 are 2, 19, 317. Prime factorization of 12046 in exponential form is:
12046 = 21 × 191 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 12032 and 12046.
LCM(12032,12046) = 28 × 471 × 191 × 3171
LCM(12032,12046) = 72468736
Related Least Common Multiples of 12032
- LCM of 12032 and 12036
- LCM of 12032 and 12037
- LCM of 12032 and 12038
- LCM of 12032 and 12039
- LCM of 12032 and 12040
- LCM of 12032 and 12041
- LCM of 12032 and 12042
- LCM of 12032 and 12043
- LCM of 12032 and 12044
- LCM of 12032 and 12045
- LCM of 12032 and 12046
- LCM of 12032 and 12047
- LCM of 12032 and 12048
- LCM of 12032 and 12049
- LCM of 12032 and 12050
- LCM of 12032 and 12051
- LCM of 12032 and 12052
Related Least Common Multiples of 12046
- LCM of 12046 and 12050
- LCM of 12046 and 12051
- LCM of 12046 and 12052
- LCM of 12046 and 12053
- LCM of 12046 and 12054
- LCM of 12046 and 12055
- LCM of 12046 and 12056
- LCM of 12046 and 12057
- LCM of 12046 and 12058
- LCM of 12046 and 12059
- LCM of 12046 and 12060
- LCM of 12046 and 12061
- LCM of 12046 and 12062
- LCM of 12046 and 12063
- LCM of 12046 and 12064
- LCM of 12046 and 12065
- LCM of 12046 and 12066