What is the Least Common Multiple of 838 and 855?
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 838 and 855 is 716490.
LCM(838,855) = 716490
Least Common Multiple of 838 and 855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 838 and 855, than apply into the LCM equation.
GCF(838,855) = 1
LCM(838,855) = ( 838 × 855) / 1
LCM(838,855) = 716490 / 1
LCM(838,855) = 716490
Least Common Multiple (LCM) of 838 and 855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 855. First we will calculate the prime factors of 838 and 855.
Prime Factorization of 838
Prime factors of 838 are 2, 419. Prime factorization of 838 in exponential form is:
838 = 21 × 4191
Prime Factorization of 855
Prime factors of 855 are 3, 5, 19. Prime factorization of 855 in exponential form is:
855 = 32 × 51 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 855.
LCM(838,855) = 21 × 4191 × 32 × 51 × 191
LCM(838,855) = 716490
Related Least Common Multiples of 838
- LCM of 838 and 842
- LCM of 838 and 843
- LCM of 838 and 844
- LCM of 838 and 845
- LCM of 838 and 846
- LCM of 838 and 847
- LCM of 838 and 848
- LCM of 838 and 849
- LCM of 838 and 850
- LCM of 838 and 851
- LCM of 838 and 852
- LCM of 838 and 853
- LCM of 838 and 854
- LCM of 838 and 855
- LCM of 838 and 856
- LCM of 838 and 857
- LCM of 838 and 858
Related Least Common Multiples of 855
- LCM of 855 and 859
- LCM of 855 and 860
- LCM of 855 and 861
- LCM of 855 and 862
- LCM of 855 and 863
- LCM of 855 and 864
- LCM of 855 and 865
- LCM of 855 and 866
- LCM of 855 and 867
- LCM of 855 and 868
- LCM of 855 and 869
- LCM of 855 and 870
- LCM of 855 and 871
- LCM of 855 and 872
- LCM of 855 and 873
- LCM of 855 and 874
- LCM of 855 and 875