What is the Least Common Multiple of 31872 and 31877?
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 31872 and 31877 is 1015983744.
LCM(31872,31877) = 1015983744
Least Common Multiple of 31872 and 31877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31872 and 31877, than apply into the LCM equation.
GCF(31872,31877) = 1
LCM(31872,31877) = ( 31872 × 31877) / 1
LCM(31872,31877) = 1015983744 / 1
LCM(31872,31877) = 1015983744
Least Common Multiple (LCM) of 31872 and 31877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31872 and 31877. First we will calculate the prime factors of 31872 and 31877.
Prime Factorization of 31872
Prime factors of 31872 are 2, 3, 83. Prime factorization of 31872 in exponential form is:
31872 = 27 × 31 × 831
Prime Factorization of 31877
Prime factors of 31877 are 127, 251. Prime factorization of 31877 in exponential form is:
31877 = 1271 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 31872 and 31877.
LCM(31872,31877) = 27 × 31 × 831 × 1271 × 2511
LCM(31872,31877) = 1015983744
Related Least Common Multiples of 31872
- LCM of 31872 and 31876
- LCM of 31872 and 31877
- LCM of 31872 and 31878
- LCM of 31872 and 31879
- LCM of 31872 and 31880
- LCM of 31872 and 31881
- LCM of 31872 and 31882
- LCM of 31872 and 31883
- LCM of 31872 and 31884
- LCM of 31872 and 31885
- LCM of 31872 and 31886
- LCM of 31872 and 31887
- LCM of 31872 and 31888
- LCM of 31872 and 31889
- LCM of 31872 and 31890
- LCM of 31872 and 31891
- LCM of 31872 and 31892
Related Least Common Multiples of 31877
- LCM of 31877 and 31881
- LCM of 31877 and 31882
- LCM of 31877 and 31883
- LCM of 31877 and 31884
- LCM of 31877 and 31885
- LCM of 31877 and 31886
- LCM of 31877 and 31887
- LCM of 31877 and 31888
- LCM of 31877 and 31889
- LCM of 31877 and 31890
- LCM of 31877 and 31891
- LCM of 31877 and 31892
- LCM of 31877 and 31893
- LCM of 31877 and 31894
- LCM of 31877 and 31895
- LCM of 31877 and 31896
- LCM of 31877 and 31897