What is the Least Common Multiple of 854 and 858?
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 854 and 858 is 366366.
LCM(854,858) = 366366
Least Common Multiple of 854 and 858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 854 and 858, than apply into the LCM equation.
GCF(854,858) = 2
LCM(854,858) = ( 854 × 858) / 2
LCM(854,858) = 732732 / 2
LCM(854,858) = 366366
Least Common Multiple (LCM) of 854 and 858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 858. First we will calculate the prime factors of 854 and 858.
Prime Factorization of 854
Prime factors of 854 are 2, 7, 61. Prime factorization of 854 in exponential form is:
854 = 21 × 71 × 611
Prime Factorization of 858
Prime factors of 858 are 2, 3, 11, 13. Prime factorization of 858 in exponential form is:
858 = 21 × 31 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 854 and 858.
LCM(854,858) = 21 × 71 × 611 × 31 × 111 × 131
LCM(854,858) = 366366
Related Least Common Multiples of 854
- LCM of 854 and 858
- LCM of 854 and 859
- LCM of 854 and 860
- LCM of 854 and 861
- LCM of 854 and 862
- LCM of 854 and 863
- LCM of 854 and 864
- LCM of 854 and 865
- LCM of 854 and 866
- LCM of 854 and 867
- LCM of 854 and 868
- LCM of 854 and 869
- LCM of 854 and 870
- LCM of 854 and 871
- LCM of 854 and 872
- LCM of 854 and 873
- LCM of 854 and 874
Related Least Common Multiples of 858
- LCM of 858 and 862
- LCM of 858 and 863
- LCM of 858 and 864
- LCM of 858 and 865
- LCM of 858 and 866
- LCM of 858 and 867
- LCM of 858 and 868
- LCM of 858 and 869
- LCM of 858 and 870
- LCM of 858 and 871
- LCM of 858 and 872
- LCM of 858 and 873
- LCM of 858 and 874
- LCM of 858 and 875
- LCM of 858 and 876
- LCM of 858 and 877
- LCM of 858 and 878