What is the Least Common Multiple of 31944 and 31950?
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 31944 and 31950 is 170101800.
LCM(31944,31950) = 170101800
Least Common Multiple of 31944 and 31950 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31944 and 31950, than apply into the LCM equation.
GCF(31944,31950) = 6
LCM(31944,31950) = ( 31944 × 31950) / 6
LCM(31944,31950) = 1020610800 / 6
LCM(31944,31950) = 170101800
Least Common Multiple (LCM) of 31944 and 31950 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31944 and 31950. First we will calculate the prime factors of 31944 and 31950.
Prime Factorization of 31944
Prime factors of 31944 are 2, 3, 11. Prime factorization of 31944 in exponential form is:
31944 = 23 × 31 × 113
Prime Factorization of 31950
Prime factors of 31950 are 2, 3, 5, 71. Prime factorization of 31950 in exponential form is:
31950 = 21 × 32 × 52 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 31944 and 31950.
LCM(31944,31950) = 23 × 32 × 113 × 52 × 711
LCM(31944,31950) = 170101800
Related Least Common Multiples of 31944
- LCM of 31944 and 31948
- LCM of 31944 and 31949
- LCM of 31944 and 31950
- LCM of 31944 and 31951
- LCM of 31944 and 31952
- LCM of 31944 and 31953
- LCM of 31944 and 31954
- LCM of 31944 and 31955
- LCM of 31944 and 31956
- LCM of 31944 and 31957
- LCM of 31944 and 31958
- LCM of 31944 and 31959
- LCM of 31944 and 31960
- LCM of 31944 and 31961
- LCM of 31944 and 31962
- LCM of 31944 and 31963
- LCM of 31944 and 31964
Related Least Common Multiples of 31950
- LCM of 31950 and 31954
- LCM of 31950 and 31955
- LCM of 31950 and 31956
- LCM of 31950 and 31957
- LCM of 31950 and 31958
- LCM of 31950 and 31959
- LCM of 31950 and 31960
- LCM of 31950 and 31961
- LCM of 31950 and 31962
- LCM of 31950 and 31963
- LCM of 31950 and 31964
- LCM of 31950 and 31965
- LCM of 31950 and 31966
- LCM of 31950 and 31967
- LCM of 31950 and 31968
- LCM of 31950 and 31969
- LCM of 31950 and 31970