What is the Least Common Multiple of 940 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 940 and 944 is 221840.
LCM(940,944) = 221840
Least Common Multiple of 940 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 940 and 944, than apply into the LCM equation.
GCF(940,944) = 4
LCM(940,944) = ( 940 × 944) / 4
LCM(940,944) = 887360 / 4
LCM(940,944) = 221840
Least Common Multiple (LCM) of 940 and 944 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 944. First we will calculate the prime factors of 940 and 944.
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 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 940 and 944.
LCM(940,944) = 24 × 51 × 471 × 591
LCM(940,944) = 221840
Related Least Common Multiples of 940
- LCM of 940 and 944
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- 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
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- LCM of 940 and 956
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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
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