What is the Least Common Multiple of 1799 and 1815?
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 1799 and 1815 is 3265185.
LCM(1799,1815) = 3265185
Least Common Multiple of 1799 and 1815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1799 and 1815, than apply into the LCM equation.
GCF(1799,1815) = 1
LCM(1799,1815) = ( 1799 × 1815) / 1
LCM(1799,1815) = 3265185 / 1
LCM(1799,1815) = 3265185
Least Common Multiple (LCM) of 1799 and 1815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1799 and 1815. First we will calculate the prime factors of 1799 and 1815.
Prime Factorization of 1799
Prime factors of 1799 are 7, 257. Prime factorization of 1799 in exponential form is:
1799 = 71 × 2571
Prime Factorization of 1815
Prime factors of 1815 are 3, 5, 11. Prime factorization of 1815 in exponential form is:
1815 = 31 × 51 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 1799 and 1815.
LCM(1799,1815) = 71 × 2571 × 31 × 51 × 112
LCM(1799,1815) = 3265185
Related Least Common Multiples of 1799
- LCM of 1799 and 1803
- LCM of 1799 and 1804
- LCM of 1799 and 1805
- LCM of 1799 and 1806
- LCM of 1799 and 1807
- LCM of 1799 and 1808
- LCM of 1799 and 1809
- LCM of 1799 and 1810
- LCM of 1799 and 1811
- LCM of 1799 and 1812
- LCM of 1799 and 1813
- LCM of 1799 and 1814
- LCM of 1799 and 1815
- LCM of 1799 and 1816
- LCM of 1799 and 1817
- LCM of 1799 and 1818
- LCM of 1799 and 1819
Related Least Common Multiples of 1815
- LCM of 1815 and 1819
- LCM of 1815 and 1820
- LCM of 1815 and 1821
- LCM of 1815 and 1822
- LCM of 1815 and 1823
- LCM of 1815 and 1824
- LCM of 1815 and 1825
- LCM of 1815 and 1826
- LCM of 1815 and 1827
- LCM of 1815 and 1828
- LCM of 1815 and 1829
- LCM of 1815 and 1830
- LCM of 1815 and 1831
- LCM of 1815 and 1832
- LCM of 1815 and 1833
- LCM of 1815 and 1834
- LCM of 1815 and 1835