What is the Least Common Multiple of 824 and 839?
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 824 and 839 is 691336.
LCM(824,839) = 691336
Least Common Multiple of 824 and 839 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 824 and 839, than apply into the LCM equation.
GCF(824,839) = 1
LCM(824,839) = ( 824 × 839) / 1
LCM(824,839) = 691336 / 1
LCM(824,839) = 691336
Least Common Multiple (LCM) of 824 and 839 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 824 and 839. First we will calculate the prime factors of 824 and 839.
Prime Factorization of 824
Prime factors of 824 are 2, 103. Prime factorization of 824 in exponential form is:
824 = 23 × 1031
Prime Factorization of 839
Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:
839 = 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 824 and 839.
LCM(824,839) = 23 × 1031 × 8391
LCM(824,839) = 691336
Related Least Common Multiples of 824
- LCM of 824 and 828
- LCM of 824 and 829
- LCM of 824 and 830
- LCM of 824 and 831
- LCM of 824 and 832
- LCM of 824 and 833
- LCM of 824 and 834
- LCM of 824 and 835
- LCM of 824 and 836
- LCM of 824 and 837
- LCM of 824 and 838
- LCM of 824 and 839
- LCM of 824 and 840
- LCM of 824 and 841
- LCM of 824 and 842
- LCM of 824 and 843
- LCM of 824 and 844
Related Least Common Multiples of 839
- LCM of 839 and 843
- LCM of 839 and 844
- LCM of 839 and 845
- LCM of 839 and 846
- LCM of 839 and 847
- LCM of 839 and 848
- LCM of 839 and 849
- LCM of 839 and 850
- LCM of 839 and 851
- LCM of 839 and 852
- LCM of 839 and 853
- LCM of 839 and 854
- LCM of 839 and 855
- LCM of 839 and 856
- LCM of 839 and 857
- LCM of 839 and 858
- LCM of 839 and 859