What is the Least Common Multiple of 6933 and 6941?
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 6941 is 48121953.
LCM(6933,6941) = 48121953
Least Common Multiple of 6933 and 6941 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 6941, than apply into the LCM equation.
GCF(6933,6941) = 1
LCM(6933,6941) = ( 6933 × 6941) / 1
LCM(6933,6941) = 48121953 / 1
LCM(6933,6941) = 48121953
Least Common Multiple (LCM) of 6933 and 6941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6933 and 6941. First we will calculate the prime factors of 6933 and 6941.
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 6941
Prime factors of 6941 are 11, 631. Prime factorization of 6941 in exponential form is:
6941 = 111 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 6933 and 6941.
LCM(6933,6941) = 31 × 23111 × 111 × 6311
LCM(6933,6941) = 48121953
Related Least Common Multiples of 6933
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- LCM of 6933 and 6945
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Related Least Common Multiples of 6941
- LCM of 6941 and 6945
- LCM of 6941 and 6946
- LCM of 6941 and 6947
- LCM of 6941 and 6948
- LCM of 6941 and 6949
- LCM of 6941 and 6950
- LCM of 6941 and 6951
- LCM of 6941 and 6952
- LCM of 6941 and 6953
- LCM of 6941 and 6954
- LCM of 6941 and 6955
- LCM of 6941 and 6956
- LCM of 6941 and 6957
- LCM of 6941 and 6958
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