What is the Least Common Multiple of 837 and 842?
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 837 and 842 is 704754.
LCM(837,842) = 704754
Least Common Multiple of 837 and 842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 837 and 842, than apply into the LCM equation.
GCF(837,842) = 1
LCM(837,842) = ( 837 × 842) / 1
LCM(837,842) = 704754 / 1
LCM(837,842) = 704754
Least Common Multiple (LCM) of 837 and 842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 837 and 842. First we will calculate the prime factors of 837 and 842.
Prime Factorization of 837
Prime factors of 837 are 3, 31. Prime factorization of 837 in exponential form is:
837 = 33 × 311
Prime Factorization of 842
Prime factors of 842 are 2, 421. Prime factorization of 842 in exponential form is:
842 = 21 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 837 and 842.
LCM(837,842) = 33 × 311 × 21 × 4211
LCM(837,842) = 704754
Related Least Common Multiples of 837
- LCM of 837 and 841
- LCM of 837 and 842
- LCM of 837 and 843
- LCM of 837 and 844
- LCM of 837 and 845
- LCM of 837 and 846
- LCM of 837 and 847
- LCM of 837 and 848
- LCM of 837 and 849
- LCM of 837 and 850
- LCM of 837 and 851
- LCM of 837 and 852
- LCM of 837 and 853
- LCM of 837 and 854
- LCM of 837 and 855
- LCM of 837 and 856
- LCM of 837 and 857
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