What is the Least Common Multiple of 928 and 944?
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 928 and 944 is 54752.
LCM(928,944) = 54752
Least Common Multiple of 928 and 944 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 928 and 944, than apply into the LCM equation.
GCF(928,944) = 16
LCM(928,944) = ( 928 × 944) / 16
LCM(928,944) = 876032 / 16
LCM(928,944) = 54752
Least Common Multiple (LCM) of 928 and 944 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 944. First we will calculate the prime factors of 928 and 944.
Prime Factorization of 928
Prime factors of 928 are 2, 29. Prime factorization of 928 in exponential form is:
928 = 25 × 291
Prime Factorization of 944
Prime factors of 944 are 2, 59. Prime factorization of 944 in exponential form is:
944 = 24 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 928 and 944.
LCM(928,944) = 25 × 291 × 591
LCM(928,944) = 54752
Related Least Common Multiples of 928
- LCM of 928 and 932
- LCM of 928 and 933
- LCM of 928 and 934
- LCM of 928 and 935
- LCM of 928 and 936
- LCM of 928 and 937
- LCM of 928 and 938
- LCM of 928 and 939
- LCM of 928 and 940
- LCM of 928 and 941
- LCM of 928 and 942
- LCM of 928 and 943
- LCM of 928 and 944
- LCM of 928 and 945
- LCM of 928 and 946
- LCM of 928 and 947
- LCM of 928 and 948
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