What is the Least Common Multiple of 6933 and 6940?
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 6933 and 6940 is 48115020.
LCM(6933,6940) = 48115020
Least Common Multiple of 6933 and 6940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6933 and 6940, than apply into the LCM equation.
GCF(6933,6940) = 1
LCM(6933,6940) = ( 6933 × 6940) / 1
LCM(6933,6940) = 48115020 / 1
LCM(6933,6940) = 48115020
Least Common Multiple (LCM) of 6933 and 6940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6933 and 6940. First we will calculate the prime factors of 6933 and 6940.
Prime Factorization of 6933
Prime factors of 6933 are 3, 2311. Prime factorization of 6933 in exponential form is:
6933 = 31 × 23111
Prime Factorization of 6940
Prime factors of 6940 are 2, 5, 347. Prime factorization of 6940 in exponential form is:
6940 = 22 × 51 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 6933 and 6940.
LCM(6933,6940) = 31 × 23111 × 22 × 51 × 3471
LCM(6933,6940) = 48115020
Related Least Common Multiples of 6933
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- LCM of 6933 and 6944
- LCM of 6933 and 6945
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- LCM of 6933 and 6949
- LCM of 6933 and 6950
- LCM of 6933 and 6951
- LCM of 6933 and 6952
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Related Least Common Multiples of 6940
- LCM of 6940 and 6944
- LCM of 6940 and 6945
- LCM of 6940 and 6946
- LCM of 6940 and 6947
- LCM of 6940 and 6948
- LCM of 6940 and 6949
- LCM of 6940 and 6950
- LCM of 6940 and 6951
- LCM of 6940 and 6952
- LCM of 6940 and 6953
- LCM of 6940 and 6954
- LCM of 6940 and 6955
- LCM of 6940 and 6956
- LCM of 6940 and 6957
- LCM of 6940 and 6958
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