What is the Least Common Multiple of 878 and 889?
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 878 and 889 is 780542.
LCM(878,889) = 780542
Least Common Multiple of 878 and 889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 878 and 889, than apply into the LCM equation.
GCF(878,889) = 1
LCM(878,889) = ( 878 × 889) / 1
LCM(878,889) = 780542 / 1
LCM(878,889) = 780542
Least Common Multiple (LCM) of 878 and 889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 878 and 889. First we will calculate the prime factors of 878 and 889.
Prime Factorization of 878
Prime factors of 878 are 2, 439. Prime factorization of 878 in exponential form is:
878 = 21 × 4391
Prime Factorization of 889
Prime factors of 889 are 7, 127. Prime factorization of 889 in exponential form is:
889 = 71 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 878 and 889.
LCM(878,889) = 21 × 4391 × 71 × 1271
LCM(878,889) = 780542
Related Least Common Multiples of 878
- LCM of 878 and 882
- LCM of 878 and 883
- LCM of 878 and 884
- LCM of 878 and 885
- LCM of 878 and 886
- LCM of 878 and 887
- LCM of 878 and 888
- LCM of 878 and 889
- LCM of 878 and 890
- LCM of 878 and 891
- LCM of 878 and 892
- LCM of 878 and 893
- LCM of 878 and 894
- LCM of 878 and 895
- LCM of 878 and 896
- LCM of 878 and 897
- LCM of 878 and 898
Related Least Common Multiples of 889
- LCM of 889 and 893
- LCM of 889 and 894
- LCM of 889 and 895
- LCM of 889 and 896
- LCM of 889 and 897
- LCM of 889 and 898
- LCM of 889 and 899
- LCM of 889 and 900
- LCM of 889 and 901
- LCM of 889 and 902
- LCM of 889 and 903
- LCM of 889 and 904
- LCM of 889 and 905
- LCM of 889 and 906
- LCM of 889 and 907
- LCM of 889 and 908
- LCM of 889 and 909