What is the Least Common Multiple of 867 and 871?
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 867 and 871 is 755157.
LCM(867,871) = 755157
Least Common Multiple of 867 and 871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 867 and 871, than apply into the LCM equation.
GCF(867,871) = 1
LCM(867,871) = ( 867 × 871) / 1
LCM(867,871) = 755157 / 1
LCM(867,871) = 755157
Least Common Multiple (LCM) of 867 and 871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 871. First we will calculate the prime factors of 867 and 871.
Prime Factorization of 867
Prime factors of 867 are 3, 17. Prime factorization of 867 in exponential form is:
867 = 31 × 172
Prime Factorization of 871
Prime factors of 871 are 13, 67. Prime factorization of 871 in exponential form is:
871 = 131 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 867 and 871.
LCM(867,871) = 31 × 172 × 131 × 671
LCM(867,871) = 755157
Related Least Common Multiples of 867
- LCM of 867 and 871
- LCM of 867 and 872
- LCM of 867 and 873
- LCM of 867 and 874
- LCM of 867 and 875
- LCM of 867 and 876
- LCM of 867 and 877
- LCM of 867 and 878
- LCM of 867 and 879
- LCM of 867 and 880
- LCM of 867 and 881
- LCM of 867 and 882
- LCM of 867 and 883
- LCM of 867 and 884
- LCM of 867 and 885
- LCM of 867 and 886
- LCM of 867 and 887
Related Least Common Multiples of 871
- LCM of 871 and 875
- LCM of 871 and 876
- LCM of 871 and 877
- LCM of 871 and 878
- LCM of 871 and 879
- LCM of 871 and 880
- LCM of 871 and 881
- LCM of 871 and 882
- LCM of 871 and 883
- LCM of 871 and 884
- LCM of 871 and 885
- LCM of 871 and 886
- LCM of 871 and 887
- LCM of 871 and 888
- LCM of 871 and 889
- LCM of 871 and 890
- LCM of 871 and 891