What is the Least Common Multiple of 923 and 942?
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 923 and 942 is 869466.
LCM(923,942) = 869466
Least Common Multiple of 923 and 942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 923 and 942, than apply into the LCM equation.
GCF(923,942) = 1
LCM(923,942) = ( 923 × 942) / 1
LCM(923,942) = 869466 / 1
LCM(923,942) = 869466
Least Common Multiple (LCM) of 923 and 942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 942. First we will calculate the prime factors of 923 and 942.
Prime Factorization of 923
Prime factors of 923 are 13, 71. Prime factorization of 923 in exponential form is:
923 = 131 × 711
Prime Factorization of 942
Prime factors of 942 are 2, 3, 157. Prime factorization of 942 in exponential form is:
942 = 21 × 31 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 942.
LCM(923,942) = 131 × 711 × 21 × 31 × 1571
LCM(923,942) = 869466
Related Least Common Multiples of 923
- LCM of 923 and 927
- LCM of 923 and 928
- LCM of 923 and 929
- LCM of 923 and 930
- LCM of 923 and 931
- LCM of 923 and 932
- LCM of 923 and 933
- LCM of 923 and 934
- LCM of 923 and 935
- LCM of 923 and 936
- LCM of 923 and 937
- LCM of 923 and 938
- LCM of 923 and 939
- LCM of 923 and 940
- LCM of 923 and 941
- LCM of 923 and 942
- LCM of 923 and 943
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