What is the Least Common Multiple of 12024 and 12035?
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 12024 and 12035 is 144708840.
LCM(12024,12035) = 144708840
Least Common Multiple of 12024 and 12035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12024 and 12035, than apply into the LCM equation.
GCF(12024,12035) = 1
LCM(12024,12035) = ( 12024 × 12035) / 1
LCM(12024,12035) = 144708840 / 1
LCM(12024,12035) = 144708840
Least Common Multiple (LCM) of 12024 and 12035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12024 and 12035. First we will calculate the prime factors of 12024 and 12035.
Prime Factorization of 12024
Prime factors of 12024 are 2, 3, 167. Prime factorization of 12024 in exponential form is:
12024 = 23 × 32 × 1671
Prime Factorization of 12035
Prime factors of 12035 are 5, 29, 83. Prime factorization of 12035 in exponential form is:
12035 = 51 × 291 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 12024 and 12035.
LCM(12024,12035) = 23 × 32 × 1671 × 51 × 291 × 831
LCM(12024,12035) = 144708840
Related Least Common Multiples of 12024
- LCM of 12024 and 12028
- LCM of 12024 and 12029
- LCM of 12024 and 12030
- LCM of 12024 and 12031
- LCM of 12024 and 12032
- LCM of 12024 and 12033
- LCM of 12024 and 12034
- LCM of 12024 and 12035
- LCM of 12024 and 12036
- LCM of 12024 and 12037
- LCM of 12024 and 12038
- LCM of 12024 and 12039
- LCM of 12024 and 12040
- LCM of 12024 and 12041
- LCM of 12024 and 12042
- LCM of 12024 and 12043
- LCM of 12024 and 12044
Related Least Common Multiples of 12035
- LCM of 12035 and 12039
- LCM of 12035 and 12040
- LCM of 12035 and 12041
- LCM of 12035 and 12042
- LCM of 12035 and 12043
- LCM of 12035 and 12044
- LCM of 12035 and 12045
- LCM of 12035 and 12046
- LCM of 12035 and 12047
- LCM of 12035 and 12048
- LCM of 12035 and 12049
- LCM of 12035 and 12050
- LCM of 12035 and 12051
- LCM of 12035 and 12052
- LCM of 12035 and 12053
- LCM of 12035 and 12054
- LCM of 12035 and 12055