What is the Least Common Multiple of 5929 and 5942?
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 5929 and 5942 is 35230118.
LCM(5929,5942) = 35230118
Least Common Multiple of 5929 and 5942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5929 and 5942, than apply into the LCM equation.
GCF(5929,5942) = 1
LCM(5929,5942) = ( 5929 × 5942) / 1
LCM(5929,5942) = 35230118 / 1
LCM(5929,5942) = 35230118
Least Common Multiple (LCM) of 5929 and 5942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5929 and 5942. First we will calculate the prime factors of 5929 and 5942.
Prime Factorization of 5929
Prime factors of 5929 are 7, 11. Prime factorization of 5929 in exponential form is:
5929 = 72 × 112
Prime Factorization of 5942
Prime factors of 5942 are 2, 2971. Prime factorization of 5942 in exponential form is:
5942 = 21 × 29711
Now multiplying the highest exponent prime factors to calculate the LCM of 5929 and 5942.
LCM(5929,5942) = 72 × 112 × 21 × 29711
LCM(5929,5942) = 35230118
Related Least Common Multiples of 5929
- LCM of 5929 and 5933
- LCM of 5929 and 5934
- LCM of 5929 and 5935
- LCM of 5929 and 5936
- LCM of 5929 and 5937
- LCM of 5929 and 5938
- LCM of 5929 and 5939
- LCM of 5929 and 5940
- LCM of 5929 and 5941
- LCM of 5929 and 5942
- LCM of 5929 and 5943
- LCM of 5929 and 5944
- LCM of 5929 and 5945
- LCM of 5929 and 5946
- LCM of 5929 and 5947
- LCM of 5929 and 5948
- LCM of 5929 and 5949
Related Least Common Multiples of 5942
- LCM of 5942 and 5946
- LCM of 5942 and 5947
- LCM of 5942 and 5948
- LCM of 5942 and 5949
- LCM of 5942 and 5950
- LCM of 5942 and 5951
- LCM of 5942 and 5952
- LCM of 5942 and 5953
- LCM of 5942 and 5954
- LCM of 5942 and 5955
- LCM of 5942 and 5956
- LCM of 5942 and 5957
- LCM of 5942 and 5958
- LCM of 5942 and 5959
- LCM of 5942 and 5960
- LCM of 5942 and 5961
- LCM of 5942 and 5962