What is the Least Common Multiple of 944 and 952?
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 944 and 952 is 112336.
LCM(944,952) = 112336
Least Common Multiple of 944 and 952 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 944 and 952, than apply into the LCM equation.
GCF(944,952) = 8
LCM(944,952) = ( 944 × 952) / 8
LCM(944,952) = 898688 / 8
LCM(944,952) = 112336
Least Common Multiple (LCM) of 944 and 952 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 944 and 952. First we will calculate the prime factors of 944 and 952.
Prime Factorization of 944
Prime factors of 944 are 2, 59. Prime factorization of 944 in exponential form is:
944 = 24 × 591
Prime Factorization of 952
Prime factors of 952 are 2, 7, 17. Prime factorization of 952 in exponential form is:
952 = 23 × 71 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 944 and 952.
LCM(944,952) = 24 × 591 × 71 × 171
LCM(944,952) = 112336
Related Least Common Multiples of 944
- LCM of 944 and 948
- LCM of 944 and 949
- LCM of 944 and 950
- LCM of 944 and 951
- LCM of 944 and 952
- LCM of 944 and 953
- LCM of 944 and 954
- LCM of 944 and 955
- LCM of 944 and 956
- LCM of 944 and 957
- LCM of 944 and 958
- LCM of 944 and 959
- LCM of 944 and 960
- LCM of 944 and 961
- LCM of 944 and 962
- LCM of 944 and 963
- LCM of 944 and 964
Related Least Common Multiples of 952
- LCM of 952 and 956
- LCM of 952 and 957
- LCM of 952 and 958
- LCM of 952 and 959
- LCM of 952 and 960
- LCM of 952 and 961
- LCM of 952 and 962
- LCM of 952 and 963
- LCM of 952 and 964
- LCM of 952 and 965
- LCM of 952 and 966
- LCM of 952 and 967
- LCM of 952 and 968
- LCM of 952 and 969
- LCM of 952 and 970
- LCM of 952 and 971
- LCM of 952 and 972