What is the Least Common Multiple of 924 and 943?
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 924 and 943 is 871332.
LCM(924,943) = 871332
Least Common Multiple of 924 and 943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 924 and 943, than apply into the LCM equation.
GCF(924,943) = 1
LCM(924,943) = ( 924 × 943) / 1
LCM(924,943) = 871332 / 1
LCM(924,943) = 871332
Least Common Multiple (LCM) of 924 and 943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 924 and 943. First we will calculate the prime factors of 924 and 943.
Prime Factorization of 924
Prime factors of 924 are 2, 3, 7, 11. Prime factorization of 924 in exponential form is:
924 = 22 × 31 × 71 × 111
Prime Factorization of 943
Prime factors of 943 are 23, 41. Prime factorization of 943 in exponential form is:
943 = 231 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 924 and 943.
LCM(924,943) = 22 × 31 × 71 × 111 × 231 × 411
LCM(924,943) = 871332
Related Least Common Multiples of 924
- LCM of 924 and 928
- LCM of 924 and 929
- LCM of 924 and 930
- LCM of 924 and 931
- LCM of 924 and 932
- LCM of 924 and 933
- LCM of 924 and 934
- LCM of 924 and 935
- LCM of 924 and 936
- LCM of 924 and 937
- LCM of 924 and 938
- LCM of 924 and 939
- LCM of 924 and 940
- LCM of 924 and 941
- LCM of 924 and 942
- LCM of 924 and 943
- LCM of 924 and 944
Related Least Common Multiples of 943
- LCM of 943 and 947
- LCM of 943 and 948
- LCM of 943 and 949
- LCM of 943 and 950
- LCM of 943 and 951
- LCM of 943 and 952
- LCM of 943 and 953
- LCM of 943 and 954
- LCM of 943 and 955
- LCM of 943 and 956
- LCM of 943 and 957
- LCM of 943 and 958
- LCM of 943 and 959
- LCM of 943 and 960
- LCM of 943 and 961
- LCM of 943 and 962
- LCM of 943 and 963