What is the Least Common Multiple of 949 and 955?
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 949 and 955 is 906295.
LCM(949,955) = 906295
Least Common Multiple of 949 and 955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 949 and 955, than apply into the LCM equation.
GCF(949,955) = 1
LCM(949,955) = ( 949 × 955) / 1
LCM(949,955) = 906295 / 1
LCM(949,955) = 906295
Least Common Multiple (LCM) of 949 and 955 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 955. First we will calculate the prime factors of 949 and 955.
Prime Factorization of 949
Prime factors of 949 are 13, 73. Prime factorization of 949 in exponential form is:
949 = 131 × 731
Prime Factorization of 955
Prime factors of 955 are 5, 191. Prime factorization of 955 in exponential form is:
955 = 51 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 955.
LCM(949,955) = 131 × 731 × 51 × 1911
LCM(949,955) = 906295
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
Related Least Common Multiples of 955
- LCM of 955 and 959
- LCM of 955 and 960
- LCM of 955 and 961
- LCM of 955 and 962
- LCM of 955 and 963
- LCM of 955 and 964
- LCM of 955 and 965
- LCM of 955 and 966
- LCM of 955 and 967
- LCM of 955 and 968
- LCM of 955 and 969
- LCM of 955 and 970
- LCM of 955 and 971
- LCM of 955 and 972
- LCM of 955 and 973
- LCM of 955 and 974
- LCM of 955 and 975