What is the Least Common Multiple of 936 and 940?
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 936 and 940 is 219960.
LCM(936,940) = 219960
Least Common Multiple of 936 and 940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 936 and 940, than apply into the LCM equation.
GCF(936,940) = 4
LCM(936,940) = ( 936 × 940) / 4
LCM(936,940) = 879840 / 4
LCM(936,940) = 219960
Least Common Multiple (LCM) of 936 and 940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 940. First we will calculate the prime factors of 936 and 940.
Prime Factorization of 936
Prime factors of 936 are 2, 3, 13. Prime factorization of 936 in exponential form is:
936 = 23 × 32 × 131
Prime Factorization of 940
Prime factors of 940 are 2, 5, 47. Prime factorization of 940 in exponential form is:
940 = 22 × 51 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 936 and 940.
LCM(936,940) = 23 × 32 × 131 × 51 × 471
LCM(936,940) = 219960
Related Least Common Multiples of 936
- LCM of 936 and 940
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- LCM of 936 and 945
- LCM of 936 and 946
- LCM of 936 and 947
- LCM of 936 and 948
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- LCM of 936 and 950
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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
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- LCM of 940 and 960