What is the Least Common Multiple of 11790 and 11800?
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 11790 and 11800 is 13912200.
LCM(11790,11800) = 13912200
Least Common Multiple of 11790 and 11800 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11790 and 11800, than apply into the LCM equation.
GCF(11790,11800) = 10
LCM(11790,11800) = ( 11790 × 11800) / 10
LCM(11790,11800) = 139122000 / 10
LCM(11790,11800) = 13912200
Least Common Multiple (LCM) of 11790 and 11800 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11790 and 11800. First we will calculate the prime factors of 11790 and 11800.
Prime Factorization of 11790
Prime factors of 11790 are 2, 3, 5, 131. Prime factorization of 11790 in exponential form is:
11790 = 21 × 32 × 51 × 1311
Prime Factorization of 11800
Prime factors of 11800 are 2, 5, 59. Prime factorization of 11800 in exponential form is:
11800 = 23 × 52 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 11790 and 11800.
LCM(11790,11800) = 23 × 32 × 52 × 1311 × 591
LCM(11790,11800) = 13912200
Related Least Common Multiples of 11790
- LCM of 11790 and 11794
- LCM of 11790 and 11795
- LCM of 11790 and 11796
- LCM of 11790 and 11797
- LCM of 11790 and 11798
- LCM of 11790 and 11799
- LCM of 11790 and 11800
- LCM of 11790 and 11801
- LCM of 11790 and 11802
- LCM of 11790 and 11803
- LCM of 11790 and 11804
- LCM of 11790 and 11805
- LCM of 11790 and 11806
- LCM of 11790 and 11807
- LCM of 11790 and 11808
- LCM of 11790 and 11809
- LCM of 11790 and 11810
Related Least Common Multiples of 11800
- LCM of 11800 and 11804
- LCM of 11800 and 11805
- LCM of 11800 and 11806
- LCM of 11800 and 11807
- LCM of 11800 and 11808
- LCM of 11800 and 11809
- LCM of 11800 and 11810
- LCM of 11800 and 11811
- LCM of 11800 and 11812
- LCM of 11800 and 11813
- LCM of 11800 and 11814
- LCM of 11800 and 11815
- LCM of 11800 and 11816
- LCM of 11800 and 11817
- LCM of 11800 and 11818
- LCM of 11800 and 11819
- LCM of 11800 and 11820