What is the Least Common Multiple of 865 and 884?
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 865 and 884 is 764660.
LCM(865,884) = 764660
Least Common Multiple of 865 and 884 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 865 and 884, than apply into the LCM equation.
GCF(865,884) = 1
LCM(865,884) = ( 865 × 884) / 1
LCM(865,884) = 764660 / 1
LCM(865,884) = 764660
Least Common Multiple (LCM) of 865 and 884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 865 and 884. First we will calculate the prime factors of 865 and 884.
Prime Factorization of 865
Prime factors of 865 are 5, 173. Prime factorization of 865 in exponential form is:
865 = 51 × 1731
Prime Factorization of 884
Prime factors of 884 are 2, 13, 17. Prime factorization of 884 in exponential form is:
884 = 22 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 865 and 884.
LCM(865,884) = 51 × 1731 × 22 × 131 × 171
LCM(865,884) = 764660
Related Least Common Multiples of 865
- LCM of 865 and 869
- LCM of 865 and 870
- LCM of 865 and 871
- LCM of 865 and 872
- LCM of 865 and 873
- LCM of 865 and 874
- LCM of 865 and 875
- LCM of 865 and 876
- LCM of 865 and 877
- LCM of 865 and 878
- LCM of 865 and 879
- LCM of 865 and 880
- LCM of 865 and 881
- LCM of 865 and 882
- LCM of 865 and 883
- LCM of 865 and 884
- LCM of 865 and 885
Related Least Common Multiples of 884
- LCM of 884 and 888
- LCM of 884 and 889
- LCM of 884 and 890
- LCM of 884 and 891
- LCM of 884 and 892
- LCM of 884 and 893
- LCM of 884 and 894
- LCM of 884 and 895
- LCM of 884 and 896
- LCM of 884 and 897
- LCM of 884 and 898
- LCM of 884 and 899
- LCM of 884 and 900
- LCM of 884 and 901
- LCM of 884 and 902
- LCM of 884 and 903
- LCM of 884 and 904