What is the Least Common Multiple of 855 and 872?
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 855 and 872 is 745560.
LCM(855,872) = 745560
Least Common Multiple of 855 and 872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 855 and 872, than apply into the LCM equation.
GCF(855,872) = 1
LCM(855,872) = ( 855 × 872) / 1
LCM(855,872) = 745560 / 1
LCM(855,872) = 745560
Least Common Multiple (LCM) of 855 and 872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 855 and 872. First we will calculate the prime factors of 855 and 872.
Prime Factorization of 855
Prime factors of 855 are 3, 5, 19. Prime factorization of 855 in exponential form is:
855 = 32 × 51 × 191
Prime Factorization of 872
Prime factors of 872 are 2, 109. Prime factorization of 872 in exponential form is:
872 = 23 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 855 and 872.
LCM(855,872) = 32 × 51 × 191 × 23 × 1091
LCM(855,872) = 745560
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
Related Least Common Multiples of 872
- LCM of 872 and 876
- LCM of 872 and 877
- LCM of 872 and 878
- LCM of 872 and 879
- LCM of 872 and 880
- LCM of 872 and 881
- LCM of 872 and 882
- LCM of 872 and 883
- LCM of 872 and 884
- LCM of 872 and 885
- LCM of 872 and 886
- LCM of 872 and 887
- LCM of 872 and 888
- LCM of 872 and 889
- LCM of 872 and 890
- LCM of 872 and 891
- LCM of 872 and 892