What is the Least Common Multiple of 859 and 874?
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 859 and 874 is 750766.
LCM(859,874) = 750766
Least Common Multiple of 859 and 874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 859 and 874, than apply into the LCM equation.
GCF(859,874) = 1
LCM(859,874) = ( 859 × 874) / 1
LCM(859,874) = 750766 / 1
LCM(859,874) = 750766
Least Common Multiple (LCM) of 859 and 874 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 859 and 874. First we will calculate the prime factors of 859 and 874.
Prime Factorization of 859
Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:
859 = 8591
Prime Factorization of 874
Prime factors of 874 are 2, 19, 23. Prime factorization of 874 in exponential form is:
874 = 21 × 191 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 859 and 874.
LCM(859,874) = 8591 × 21 × 191 × 231
LCM(859,874) = 750766
Related Least Common Multiples of 859
- LCM of 859 and 863
- LCM of 859 and 864
- LCM of 859 and 865
- LCM of 859 and 866
- LCM of 859 and 867
- LCM of 859 and 868
- LCM of 859 and 869
- LCM of 859 and 870
- LCM of 859 and 871
- LCM of 859 and 872
- LCM of 859 and 873
- LCM of 859 and 874
- LCM of 859 and 875
- LCM of 859 and 876
- LCM of 859 and 877
- LCM of 859 and 878
- LCM of 859 and 879
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