What is the Least Common Multiple of 942 and 960?
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 942 and 960 is 150720.
LCM(942,960) = 150720
Least Common Multiple of 942 and 960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 942 and 960, than apply into the LCM equation.
GCF(942,960) = 6
LCM(942,960) = ( 942 × 960) / 6
LCM(942,960) = 904320 / 6
LCM(942,960) = 150720
Least Common Multiple (LCM) of 942 and 960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 960. First we will calculate the prime factors of 942 and 960.
Prime Factorization of 942
Prime factors of 942 are 2, 3, 157. Prime factorization of 942 in exponential form is:
942 = 21 × 31 × 1571
Prime Factorization of 960
Prime factors of 960 are 2, 3, 5. Prime factorization of 960 in exponential form is:
960 = 26 × 31 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 960.
LCM(942,960) = 26 × 31 × 1571 × 51
LCM(942,960) = 150720
Related Least Common Multiples of 942
- LCM of 942 and 946
- LCM of 942 and 947
- LCM of 942 and 948
- LCM of 942 and 949
- LCM of 942 and 950
- LCM of 942 and 951
- LCM of 942 and 952
- LCM of 942 and 953
- LCM of 942 and 954
- LCM of 942 and 955
- LCM of 942 and 956
- LCM of 942 and 957
- LCM of 942 and 958
- LCM of 942 and 959
- LCM of 942 and 960
- LCM of 942 and 961
- LCM of 942 and 962
Related Least Common Multiples of 960
- LCM of 960 and 964
- LCM of 960 and 965
- LCM of 960 and 966
- LCM of 960 and 967
- LCM of 960 and 968
- LCM of 960 and 969
- LCM of 960 and 970
- LCM of 960 and 971
- LCM of 960 and 972
- LCM of 960 and 973
- LCM of 960 and 974
- LCM of 960 and 975
- LCM of 960 and 976
- LCM of 960 and 977
- LCM of 960 and 978
- LCM of 960 and 979
- LCM of 960 and 980