What is the Least Common Multiple of 842 and 856?
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 842 and 856 is 360376.
LCM(842,856) = 360376
Least Common Multiple of 842 and 856 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 842 and 856, than apply into the LCM equation.
GCF(842,856) = 2
LCM(842,856) = ( 842 × 856) / 2
LCM(842,856) = 720752 / 2
LCM(842,856) = 360376
Least Common Multiple (LCM) of 842 and 856 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 842 and 856. First we will calculate the prime factors of 842 and 856.
Prime Factorization of 842
Prime factors of 842 are 2, 421. Prime factorization of 842 in exponential form is:
842 = 21 × 4211
Prime Factorization of 856
Prime factors of 856 are 2, 107. Prime factorization of 856 in exponential form is:
856 = 23 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 842 and 856.
LCM(842,856) = 23 × 4211 × 1071
LCM(842,856) = 360376
Related Least Common Multiples of 842
- LCM of 842 and 846
- LCM of 842 and 847
- LCM of 842 and 848
- LCM of 842 and 849
- LCM of 842 and 850
- LCM of 842 and 851
- LCM of 842 and 852
- LCM of 842 and 853
- LCM of 842 and 854
- LCM of 842 and 855
- LCM of 842 and 856
- LCM of 842 and 857
- LCM of 842 and 858
- LCM of 842 and 859
- LCM of 842 and 860
- LCM of 842 and 861
- LCM of 842 and 862
Related Least Common Multiples of 856
- LCM of 856 and 860
- LCM of 856 and 861
- LCM of 856 and 862
- LCM of 856 and 863
- LCM of 856 and 864
- LCM of 856 and 865
- LCM of 856 and 866
- LCM of 856 and 867
- LCM of 856 and 868
- LCM of 856 and 869
- LCM of 856 and 870
- LCM of 856 and 871
- LCM of 856 and 872
- LCM of 856 and 873
- LCM of 856 and 874
- LCM of 856 and 875
- LCM of 856 and 876