What is the Least Common Multiple of 6957 and 6969?
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 6957 and 6969 is 16161111.
LCM(6957,6969) = 16161111
Least Common Multiple of 6957 and 6969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6957 and 6969, than apply into the LCM equation.
GCF(6957,6969) = 3
LCM(6957,6969) = ( 6957 × 6969) / 3
LCM(6957,6969) = 48483333 / 3
LCM(6957,6969) = 16161111
Least Common Multiple (LCM) of 6957 and 6969 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6957 and 6969. First we will calculate the prime factors of 6957 and 6969.
Prime Factorization of 6957
Prime factors of 6957 are 3, 773. Prime factorization of 6957 in exponential form is:
6957 = 32 × 7731
Prime Factorization of 6969
Prime factors of 6969 are 3, 23, 101. Prime factorization of 6969 in exponential form is:
6969 = 31 × 231 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 6957 and 6969.
LCM(6957,6969) = 32 × 7731 × 231 × 1011
LCM(6957,6969) = 16161111
Related Least Common Multiples of 6957
- LCM of 6957 and 6961
- LCM of 6957 and 6962
- LCM of 6957 and 6963
- LCM of 6957 and 6964
- LCM of 6957 and 6965
- LCM of 6957 and 6966
- LCM of 6957 and 6967
- LCM of 6957 and 6968
- LCM of 6957 and 6969
- LCM of 6957 and 6970
- LCM of 6957 and 6971
- LCM of 6957 and 6972
- LCM of 6957 and 6973
- LCM of 6957 and 6974
- LCM of 6957 and 6975
- LCM of 6957 and 6976
- LCM of 6957 and 6977
Related Least Common Multiples of 6969
- LCM of 6969 and 6973
- LCM of 6969 and 6974
- LCM of 6969 and 6975
- LCM of 6969 and 6976
- LCM of 6969 and 6977
- LCM of 6969 and 6978
- LCM of 6969 and 6979
- LCM of 6969 and 6980
- LCM of 6969 and 6981
- LCM of 6969 and 6982
- LCM of 6969 and 6983
- LCM of 6969 and 6984
- LCM of 6969 and 6985
- LCM of 6969 and 6986
- LCM of 6969 and 6987
- LCM of 6969 and 6988
- LCM of 6969 and 6989