What is the Least Common Multiple of 874 and 890?
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 874 and 890 is 388930.
LCM(874,890) = 388930
Least Common Multiple of 874 and 890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 874 and 890, than apply into the LCM equation.
GCF(874,890) = 2
LCM(874,890) = ( 874 × 890) / 2
LCM(874,890) = 777860 / 2
LCM(874,890) = 388930
Least Common Multiple (LCM) of 874 and 890 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 890. First we will calculate the prime factors of 874 and 890.
Prime Factorization of 874
Prime factors of 874 are 2, 19, 23. Prime factorization of 874 in exponential form is:
874 = 21 × 191 × 231
Prime Factorization of 890
Prime factors of 890 are 2, 5, 89. Prime factorization of 890 in exponential form is:
890 = 21 × 51 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 874 and 890.
LCM(874,890) = 21 × 191 × 231 × 51 × 891
LCM(874,890) = 388930
Related Least Common Multiples of 874
- LCM of 874 and 878
- LCM of 874 and 879
- LCM of 874 and 880
- LCM of 874 and 881
- LCM of 874 and 882
- LCM of 874 and 883
- LCM of 874 and 884
- LCM of 874 and 885
- LCM of 874 and 886
- LCM of 874 and 887
- LCM of 874 and 888
- LCM of 874 and 889
- LCM of 874 and 890
- LCM of 874 and 891
- LCM of 874 and 892
- LCM of 874 and 893
- LCM of 874 and 894
Related Least Common Multiples of 890
- LCM of 890 and 894
- LCM of 890 and 895
- LCM of 890 and 896
- LCM of 890 and 897
- LCM of 890 and 898
- LCM of 890 and 899
- LCM of 890 and 900
- LCM of 890 and 901
- LCM of 890 and 902
- LCM of 890 and 903
- LCM of 890 and 904
- LCM of 890 and 905
- LCM of 890 and 906
- LCM of 890 and 907
- LCM of 890 and 908
- LCM of 890 and 909
- LCM of 890 and 910