What is the Least Common Multiple of 940 and 948?
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 940 and 948 is 222780.
LCM(940,948) = 222780
Least Common Multiple of 940 and 948 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 940 and 948, than apply into the LCM equation.
GCF(940,948) = 4
LCM(940,948) = ( 940 × 948) / 4
LCM(940,948) = 891120 / 4
LCM(940,948) = 222780
Least Common Multiple (LCM) of 940 and 948 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 948. First we will calculate the prime factors of 940 and 948.
Prime Factorization of 940
Prime factors of 940 are 2, 5, 47. Prime factorization of 940 in exponential form is:
940 = 22 × 51 × 471
Prime Factorization of 948
Prime factors of 948 are 2, 3, 79. Prime factorization of 948 in exponential form is:
948 = 22 × 31 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 940 and 948.
LCM(940,948) = 22 × 51 × 471 × 31 × 791
LCM(940,948) = 222780
Related Least Common Multiples of 940
- LCM of 940 and 944
- LCM of 940 and 945
- LCM of 940 and 946
- LCM of 940 and 947
- LCM of 940 and 948
- LCM of 940 and 949
- LCM of 940 and 950
- LCM of 940 and 951
- LCM of 940 and 952
- LCM of 940 and 953
- LCM of 940 and 954
- LCM of 940 and 955
- LCM of 940 and 956
- LCM of 940 and 957
- LCM of 940 and 958
- LCM of 940 and 959
- LCM of 940 and 960
Related Least Common Multiples of 948
- LCM of 948 and 952
- LCM of 948 and 953
- LCM of 948 and 954
- LCM of 948 and 955
- LCM of 948 and 956
- LCM of 948 and 957
- LCM of 948 and 958
- LCM of 948 and 959
- LCM of 948 and 960
- LCM of 948 and 961
- LCM of 948 and 962
- LCM of 948 and 963
- LCM of 948 and 964
- LCM of 948 and 965
- LCM of 948 and 966
- LCM of 948 and 967
- LCM of 948 and 968