What is the Least Common Multiple of 945 and 949?
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 945 and 949 is 896805.
LCM(945,949) = 896805
Least Common Multiple of 945 and 949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 945 and 949, than apply into the LCM equation.
GCF(945,949) = 1
LCM(945,949) = ( 945 × 949) / 1
LCM(945,949) = 896805 / 1
LCM(945,949) = 896805
Least Common Multiple (LCM) of 945 and 949 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 945 and 949. First we will calculate the prime factors of 945 and 949.
Prime Factorization of 945
Prime factors of 945 are 3, 5, 7. Prime factorization of 945 in exponential form is:
945 = 33 × 51 × 71
Prime Factorization of 949
Prime factors of 949 are 13, 73. Prime factorization of 949 in exponential form is:
949 = 131 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 945 and 949.
LCM(945,949) = 33 × 51 × 71 × 131 × 731
LCM(945,949) = 896805
Related Least Common Multiples of 945
- LCM of 945 and 949
- LCM of 945 and 950
- LCM of 945 and 951
- LCM of 945 and 952
- LCM of 945 and 953
- LCM of 945 and 954
- LCM of 945 and 955
- LCM of 945 and 956
- LCM of 945 and 957
- LCM of 945 and 958
- LCM of 945 and 959
- LCM of 945 and 960
- LCM of 945 and 961
- LCM of 945 and 962
- LCM of 945 and 963
- LCM of 945 and 964
- LCM of 945 and 965
Related Least Common Multiples of 949
- LCM of 949 and 953
- LCM of 949 and 954
- LCM of 949 and 955
- LCM of 949 and 956
- LCM of 949 and 957
- LCM of 949 and 958
- LCM of 949 and 959
- LCM of 949 and 960
- LCM of 949 and 961
- LCM of 949 and 962
- LCM of 949 and 963
- LCM of 949 and 964
- LCM of 949 and 965
- LCM of 949 and 966
- LCM of 949 and 967
- LCM of 949 and 968
- LCM of 949 and 969